Gemeenschappelijke delers van 471.398.400 en 766.022.400. Rekenmachine voor priem- en samengestelde delers, indien aanwezig

De gemene delers van de getallen 471.398.400 en 766.022.400?

De gemene delers van de getallen 471.398.400 and 766.022.400 zijn allemaal delers van hun 'grootste gemene deler', ggd


Bereken de grootste gemene deler.
Volg de twee onderstaande stappen.

1. Bepaal de ontbinding in priemfactoren van de twee getallen:

Het ontbinden in priemfactoren van een getal: de priemgetallen vinden die zich vermenigvuldigen om dat getal te maken.


471.398.400 = 211 × 33 × 52 × 11 × 31
471.398.400 is geen priemgetal maar een samengesteld getal.

766.022.400 = 28 × 33 × 52 × 11 × 13 × 31
766.022.400 is geen priemgetal maar een samengesteld getal.


  • De natuurlijke getallen die alleen deelbaar zijn door 1 en zichzelf, worden priemgetallen genoemd. Een priemgetal heeft precies twee delers: 1 en zichzelf.
  • Voorbeelden van priemgetallen: 2 (delers 1, 2), 3 (delers 1, 3), 5 (delers 1, 5), 7 (delers 1, 7), 11 (delers 1, 11), 13 (delers 1, 13), ...
  • Een samengesteld getal is een natuurlijk getal dat minstens één andere deler heeft dan 1 en zichzelf. Het is dus noch een priemgetal, noch 1.
  • Voorbeelden van samengestelde getallen: 4 (het heeft 3 delers: 1, 2, 4), 6 (het heeft 4 delers: 1, 2, 3, 6), 8 (het heeft 4 delers: 1, 2, 4, 8), 9 (het heeft 3 delers: 1, 3, 9), 10 (het heeft 4 delers: 1, 2, 5, 10), 12 (het heeft 6 delers: 1, 2, 3, 4, 6, 12), ...

  • » Onlinecalculator. Controleer of een getal een priemgetal is of niet. De ontbinding in priemfactoren van samengestelde getallen



2. Bereken de grootste gemene deler, ggd:

Vermenigvuldig alle gemeenschappelijke priemfactoren, genomen door hun kleinste exponenten (de kleinste machten).

ggd (471.398.400; 766.022.400) = 28 × 33 × 52 × 11 × 31 = 58.924.800

» Onlinecalculator. Bereken de grootste gemene deler



Hoe tel je het aantal delers van een getal?

Zonder de delers daadwerkelijk te berekenen

  • Als een getal N wordt ontbonden in priemfactoren als:
    N = am × bk × cz
    waarbij a, b, c de priemfactoren zijn; m, k, z hun exponenten, natuurlijke getallen, ....
  • ...
  • Dan kan het aantal delers van het getal N op deze manier worden berekend:
    n = (m + 1) × (k + 1) × (z + 1)
  • ...
  • In ons geval wordt het aantal delers berekend als:
  • n = (8 + 1) × (3 + 1) × (2 + 1) × (1 + 1) × (1 + 1) = 9 × 4 × 3 × 2 × 2 = 432

Maar om de delers daadwerkelijk te berekenen, zie hieronder...

3. Vermenigvuldig de priemfactoren van de 'ggd':

  • Vermenigvuldig de priemfactoren die betrokken zijn bij het ontbinden in priemfactoren van de ggd in al hun unieke combinaties, die verschillende resultaten opleveren.
  • Overweeg ook de exponenten van de priemfactoren (voorbeeld: 32 = 3 × 3 = 9).
  • Voeg ook 1 toe aan de lijst met delers. Alle getallen zijn deelbaar door 1.

Alle delers staan hieronder vermeld - in oplopende volgorde

De lijst met delers:

Getallen anders dan 1 die geen priemfactoren zijn, zijn de samengestelde delers.

noch priem noch samengesteld = 1
priemfactor = 2
priemfactor = 3
samengestelde deler = 22 = 4
priemfactor = 5
samengestelde deler = 2 × 3 = 6
samengestelde deler = 23 = 8
samengestelde deler = 32 = 9
samengestelde deler = 2 × 5 = 10
priemfactor = 11
samengestelde deler = 22 × 3 = 12
samengestelde deler = 3 × 5 = 15
samengestelde deler = 24 = 16
samengestelde deler = 2 × 32 = 18
samengestelde deler = 22 × 5 = 20
samengestelde deler = 2 × 11 = 22
samengestelde deler = 23 × 3 = 24
samengestelde deler = 52 = 25
samengestelde deler = 33 = 27
samengestelde deler = 2 × 3 × 5 = 30
priemfactor = 31
samengestelde deler = 25 = 32
samengestelde deler = 3 × 11 = 33
samengestelde deler = 22 × 32 = 36
samengestelde deler = 23 × 5 = 40
samengestelde deler = 22 × 11 = 44
samengestelde deler = 32 × 5 = 45
samengestelde deler = 24 × 3 = 48
samengestelde deler = 2 × 52 = 50
samengestelde deler = 2 × 33 = 54
samengestelde deler = 5 × 11 = 55
samengestelde deler = 22 × 3 × 5 = 60
samengestelde deler = 2 × 31 = 62
samengestelde deler = 26 = 64
samengestelde deler = 2 × 3 × 11 = 66
samengestelde deler = 23 × 32 = 72
samengestelde deler = 3 × 52 = 75
samengestelde deler = 24 × 5 = 80
samengestelde deler = 23 × 11 = 88
samengestelde deler = 2 × 32 × 5 = 90
samengestelde deler = 3 × 31 = 93
samengestelde deler = 25 × 3 = 96
samengestelde deler = 32 × 11 = 99
samengestelde deler = 22 × 52 = 100
samengestelde deler = 22 × 33 = 108
samengestelde deler = 2 × 5 × 11 = 110
samengestelde deler = 23 × 3 × 5 = 120
samengestelde deler = 22 × 31 = 124
samengestelde deler = 27 = 128
samengestelde deler = 22 × 3 × 11 = 132
samengestelde deler = 33 × 5 = 135
samengestelde deler = 24 × 32 = 144
samengestelde deler = 2 × 3 × 52 = 150
samengestelde deler = 5 × 31 = 155
samengestelde deler = 25 × 5 = 160
samengestelde deler = 3 × 5 × 11 = 165
samengestelde deler = 24 × 11 = 176
samengestelde deler = 22 × 32 × 5 = 180
samengestelde deler = 2 × 3 × 31 = 186
samengestelde deler = 26 × 3 = 192
samengestelde deler = 2 × 32 × 11 = 198
samengestelde deler = 23 × 52 = 200
samengestelde deler = 23 × 33 = 216
samengestelde deler = 22 × 5 × 11 = 220
samengestelde deler = 32 × 52 = 225
samengestelde deler = 24 × 3 × 5 = 240
samengestelde deler = 23 × 31 = 248
samengestelde deler = 28 = 256
samengestelde deler = 23 × 3 × 11 = 264
samengestelde deler = 2 × 33 × 5 = 270
samengestelde deler = 52 × 11 = 275
samengestelde deler = 32 × 31 = 279
samengestelde deler = 25 × 32 = 288
samengestelde deler = 33 × 11 = 297
samengestelde deler = 22 × 3 × 52 = 300
samengestelde deler = 2 × 5 × 31 = 310
samengestelde deler = 26 × 5 = 320
samengestelde deler = 2 × 3 × 5 × 11 = 330
samengestelde deler = 11 × 31 = 341
samengestelde deler = 25 × 11 = 352
samengestelde deler = 23 × 32 × 5 = 360
samengestelde deler = 22 × 3 × 31 = 372
samengestelde deler = 27 × 3 = 384
samengestelde deler = 22 × 32 × 11 = 396
samengestelde deler = 24 × 52 = 400
samengestelde deler = 24 × 33 = 432
samengestelde deler = 23 × 5 × 11 = 440
samengestelde deler = 2 × 32 × 52 = 450
samengestelde deler = 3 × 5 × 31 = 465
samengestelde deler = 25 × 3 × 5 = 480
samengestelde deler = 32 × 5 × 11 = 495
samengestelde deler = 24 × 31 = 496
samengestelde deler = 24 × 3 × 11 = 528
samengestelde deler = 22 × 33 × 5 = 540
samengestelde deler = 2 × 52 × 11 = 550
samengestelde deler = 2 × 32 × 31 = 558
samengestelde deler = 26 × 32 = 576
samengestelde deler = 2 × 33 × 11 = 594
samengestelde deler = 23 × 3 × 52 = 600
samengestelde deler = 22 × 5 × 31 = 620
samengestelde deler = 27 × 5 = 640
samengestelde deler = 22 × 3 × 5 × 11 = 660
samengestelde deler = 33 × 52 = 675
samengestelde deler = 2 × 11 × 31 = 682
samengestelde deler = 26 × 11 = 704
samengestelde deler = 24 × 32 × 5 = 720
samengestelde deler = 23 × 3 × 31 = 744
samengestelde deler = 28 × 3 = 768
samengestelde deler = 52 × 31 = 775
samengestelde deler = 23 × 32 × 11 = 792
samengestelde deler = 25 × 52 = 800
samengestelde deler = 3 × 52 × 11 = 825
samengestelde deler = 33 × 31 = 837
samengestelde deler = 25 × 33 = 864
samengestelde deler = 24 × 5 × 11 = 880
samengestelde deler = 22 × 32 × 52 = 900
samengestelde deler = 2 × 3 × 5 × 31 = 930
samengestelde deler = 26 × 3 × 5 = 960
samengestelde deler = 2 × 32 × 5 × 11 = 990
samengestelde deler = 25 × 31 = 992
samengestelde deler = 3 × 11 × 31 = 1.023
samengestelde deler = 25 × 3 × 11 = 1.056
samengestelde deler = 23 × 33 × 5 = 1.080
samengestelde deler = 22 × 52 × 11 = 1.100
samengestelde deler = 22 × 32 × 31 = 1.116
samengestelde deler = 27 × 32 = 1.152
samengestelde deler = 22 × 33 × 11 = 1.188
samengestelde deler = 24 × 3 × 52 = 1.200
samengestelde deler = 23 × 5 × 31 = 1.240
samengestelde deler = 28 × 5 = 1.280
samengestelde deler = 23 × 3 × 5 × 11 = 1.320
samengestelde deler = 2 × 33 × 52 = 1.350
samengestelde deler = 22 × 11 × 31 = 1.364
samengestelde deler = 32 × 5 × 31 = 1.395
samengestelde deler = 27 × 11 = 1.408
samengestelde deler = 25 × 32 × 5 = 1.440
samengestelde deler = 33 × 5 × 11 = 1.485
samengestelde deler = 24 × 3 × 31 = 1.488
samengestelde deler = 2 × 52 × 31 = 1.550
samengestelde deler = 24 × 32 × 11 = 1.584
samengestelde deler = 26 × 52 = 1.600
samengestelde deler = 2 × 3 × 52 × 11 = 1.650
samengestelde deler = 2 × 33 × 31 = 1.674
samengestelde deler = 5 × 11 × 31 = 1.705
samengestelde deler = 26 × 33 = 1.728
samengestelde deler = 25 × 5 × 11 = 1.760
samengestelde deler = 23 × 32 × 52 = 1.800
samengestelde deler = 22 × 3 × 5 × 31 = 1.860
samengestelde deler = 27 × 3 × 5 = 1.920
samengestelde deler = 22 × 32 × 5 × 11 = 1.980
samengestelde deler = 26 × 31 = 1.984
samengestelde deler = 2 × 3 × 11 × 31 = 2.046
samengestelde deler = 26 × 3 × 11 = 2.112
samengestelde deler = 24 × 33 × 5 = 2.160
samengestelde deler = 23 × 52 × 11 = 2.200
samengestelde deler = 23 × 32 × 31 = 2.232
samengestelde deler = 28 × 32 = 2.304
samengestelde deler = 3 × 52 × 31 = 2.325
samengestelde deler = 23 × 33 × 11 = 2.376
samengestelde deler = 25 × 3 × 52 = 2.400
samengestelde deler = 32 × 52 × 11 = 2.475
samengestelde deler = 24 × 5 × 31 = 2.480
samengestelde deler = 24 × 3 × 5 × 11 = 2.640
samengestelde deler = 22 × 33 × 52 = 2.700
samengestelde deler = 23 × 11 × 31 = 2.728
samengestelde deler = 2 × 32 × 5 × 31 = 2.790
samengestelde deler = 28 × 11 = 2.816
samengestelde deler = 26 × 32 × 5 = 2.880
samengestelde deler = 2 × 33 × 5 × 11 = 2.970
samengestelde deler = 25 × 3 × 31 = 2.976
samengestelde deler = 32 × 11 × 31 = 3.069
samengestelde deler = 22 × 52 × 31 = 3.100
samengestelde deler = 25 × 32 × 11 = 3.168
samengestelde deler = 27 × 52 = 3.200
samengestelde deler = 22 × 3 × 52 × 11 = 3.300
samengestelde deler = 22 × 33 × 31 = 3.348
samengestelde deler = 2 × 5 × 11 × 31 = 3.410
samengestelde deler = 27 × 33 = 3.456
samengestelde deler = 26 × 5 × 11 = 3.520
samengestelde deler = 24 × 32 × 52 = 3.600
samengestelde deler = 23 × 3 × 5 × 31 = 3.720
samengestelde deler = 28 × 3 × 5 = 3.840
samengestelde deler = 23 × 32 × 5 × 11 = 3.960
samengestelde deler = 27 × 31 = 3.968
samengestelde deler = 22 × 3 × 11 × 31 = 4.092
samengestelde deler = 33 × 5 × 31 = 4.185
samengestelde deler = 27 × 3 × 11 = 4.224
samengestelde deler = 25 × 33 × 5 = 4.320
samengestelde deler = 24 × 52 × 11 = 4.400
samengestelde deler = 24 × 32 × 31 = 4.464
samengestelde deler = 2 × 3 × 52 × 31 = 4.650
samengestelde deler = 24 × 33 × 11 = 4.752
samengestelde deler = 26 × 3 × 52 = 4.800
samengestelde deler = 2 × 32 × 52 × 11 = 4.950
samengestelde deler = 25 × 5 × 31 = 4.960
samengestelde deler = 3 × 5 × 11 × 31 = 5.115
samengestelde deler = 25 × 3 × 5 × 11 = 5.280
samengestelde deler = 23 × 33 × 52 = 5.400
samengestelde deler = 24 × 11 × 31 = 5.456
samengestelde deler = 22 × 32 × 5 × 31 = 5.580
samengestelde deler = 27 × 32 × 5 = 5.760
samengestelde deler = 22 × 33 × 5 × 11 = 5.940
samengestelde deler = 26 × 3 × 31 = 5.952
samengestelde deler = 2 × 32 × 11 × 31 = 6.138
samengestelde deler = 23 × 52 × 31 = 6.200
samengestelde deler = 26 × 32 × 11 = 6.336
samengestelde deler = 28 × 52 = 6.400
samengestelde deler = 23 × 3 × 52 × 11 = 6.600
samengestelde deler = 23 × 33 × 31 = 6.696
samengestelde deler = 22 × 5 × 11 × 31 = 6.820
samengestelde deler = 28 × 33 = 6.912
samengestelde deler = 32 × 52 × 31 = 6.975
samengestelde deler = 27 × 5 × 11 = 7.040
samengestelde deler = 25 × 32 × 52 = 7.200
samengestelde deler = 33 × 52 × 11 = 7.425
samengestelde deler = 24 × 3 × 5 × 31 = 7.440
Deze lijst gaat hieronder verder...

... Deze lijst gaat verder van bovenaf
samengestelde deler = 24 × 32 × 5 × 11 = 7.920
samengestelde deler = 28 × 31 = 7.936
samengestelde deler = 23 × 3 × 11 × 31 = 8.184
samengestelde deler = 2 × 33 × 5 × 31 = 8.370
samengestelde deler = 28 × 3 × 11 = 8.448
samengestelde deler = 52 × 11 × 31 = 8.525
samengestelde deler = 26 × 33 × 5 = 8.640
samengestelde deler = 25 × 52 × 11 = 8.800
samengestelde deler = 25 × 32 × 31 = 8.928
samengestelde deler = 33 × 11 × 31 = 9.207
samengestelde deler = 22 × 3 × 52 × 31 = 9.300
samengestelde deler = 25 × 33 × 11 = 9.504
samengestelde deler = 27 × 3 × 52 = 9.600
samengestelde deler = 22 × 32 × 52 × 11 = 9.900
samengestelde deler = 26 × 5 × 31 = 9.920
samengestelde deler = 2 × 3 × 5 × 11 × 31 = 10.230
samengestelde deler = 26 × 3 × 5 × 11 = 10.560
samengestelde deler = 24 × 33 × 52 = 10.800
samengestelde deler = 25 × 11 × 31 = 10.912
samengestelde deler = 23 × 32 × 5 × 31 = 11.160
samengestelde deler = 28 × 32 × 5 = 11.520
samengestelde deler = 23 × 33 × 5 × 11 = 11.880
samengestelde deler = 27 × 3 × 31 = 11.904
samengestelde deler = 22 × 32 × 11 × 31 = 12.276
samengestelde deler = 24 × 52 × 31 = 12.400
samengestelde deler = 27 × 32 × 11 = 12.672
samengestelde deler = 24 × 3 × 52 × 11 = 13.200
samengestelde deler = 24 × 33 × 31 = 13.392
samengestelde deler = 23 × 5 × 11 × 31 = 13.640
samengestelde deler = 2 × 32 × 52 × 31 = 13.950
samengestelde deler = 28 × 5 × 11 = 14.080
samengestelde deler = 26 × 32 × 52 = 14.400
samengestelde deler = 2 × 33 × 52 × 11 = 14.850
samengestelde deler = 25 × 3 × 5 × 31 = 14.880
samengestelde deler = 32 × 5 × 11 × 31 = 15.345
samengestelde deler = 25 × 32 × 5 × 11 = 15.840
samengestelde deler = 24 × 3 × 11 × 31 = 16.368
samengestelde deler = 22 × 33 × 5 × 31 = 16.740
samengestelde deler = 2 × 52 × 11 × 31 = 17.050
samengestelde deler = 27 × 33 × 5 = 17.280
samengestelde deler = 26 × 52 × 11 = 17.600
samengestelde deler = 26 × 32 × 31 = 17.856
samengestelde deler = 2 × 33 × 11 × 31 = 18.414
samengestelde deler = 23 × 3 × 52 × 31 = 18.600
samengestelde deler = 26 × 33 × 11 = 19.008
samengestelde deler = 28 × 3 × 52 = 19.200
samengestelde deler = 23 × 32 × 52 × 11 = 19.800
samengestelde deler = 27 × 5 × 31 = 19.840
samengestelde deler = 22 × 3 × 5 × 11 × 31 = 20.460
samengestelde deler = 33 × 52 × 31 = 20.925
samengestelde deler = 27 × 3 × 5 × 11 = 21.120
samengestelde deler = 25 × 33 × 52 = 21.600
samengestelde deler = 26 × 11 × 31 = 21.824
samengestelde deler = 24 × 32 × 5 × 31 = 22.320
samengestelde deler = 24 × 33 × 5 × 11 = 23.760
samengestelde deler = 28 × 3 × 31 = 23.808
samengestelde deler = 23 × 32 × 11 × 31 = 24.552
samengestelde deler = 25 × 52 × 31 = 24.800
samengestelde deler = 28 × 32 × 11 = 25.344
samengestelde deler = 3 × 52 × 11 × 31 = 25.575
samengestelde deler = 25 × 3 × 52 × 11 = 26.400
samengestelde deler = 25 × 33 × 31 = 26.784
samengestelde deler = 24 × 5 × 11 × 31 = 27.280
samengestelde deler = 22 × 32 × 52 × 31 = 27.900
samengestelde deler = 27 × 32 × 52 = 28.800
samengestelde deler = 22 × 33 × 52 × 11 = 29.700
samengestelde deler = 26 × 3 × 5 × 31 = 29.760
samengestelde deler = 2 × 32 × 5 × 11 × 31 = 30.690
samengestelde deler = 26 × 32 × 5 × 11 = 31.680
samengestelde deler = 25 × 3 × 11 × 31 = 32.736
samengestelde deler = 23 × 33 × 5 × 31 = 33.480
samengestelde deler = 22 × 52 × 11 × 31 = 34.100
samengestelde deler = 28 × 33 × 5 = 34.560
samengestelde deler = 27 × 52 × 11 = 35.200
samengestelde deler = 27 × 32 × 31 = 35.712
samengestelde deler = 22 × 33 × 11 × 31 = 36.828
samengestelde deler = 24 × 3 × 52 × 31 = 37.200
samengestelde deler = 27 × 33 × 11 = 38.016
samengestelde deler = 24 × 32 × 52 × 11 = 39.600
samengestelde deler = 28 × 5 × 31 = 39.680
samengestelde deler = 23 × 3 × 5 × 11 × 31 = 40.920
samengestelde deler = 2 × 33 × 52 × 31 = 41.850
samengestelde deler = 28 × 3 × 5 × 11 = 42.240
samengestelde deler = 26 × 33 × 52 = 43.200
samengestelde deler = 27 × 11 × 31 = 43.648
samengestelde deler = 25 × 32 × 5 × 31 = 44.640
samengestelde deler = 33 × 5 × 11 × 31 = 46.035
samengestelde deler = 25 × 33 × 5 × 11 = 47.520
samengestelde deler = 24 × 32 × 11 × 31 = 49.104
samengestelde deler = 26 × 52 × 31 = 49.600
samengestelde deler = 2 × 3 × 52 × 11 × 31 = 51.150
samengestelde deler = 26 × 3 × 52 × 11 = 52.800
samengestelde deler = 26 × 33 × 31 = 53.568
samengestelde deler = 25 × 5 × 11 × 31 = 54.560
samengestelde deler = 23 × 32 × 52 × 31 = 55.800
samengestelde deler = 28 × 32 × 52 = 57.600
samengestelde deler = 23 × 33 × 52 × 11 = 59.400
samengestelde deler = 27 × 3 × 5 × 31 = 59.520
samengestelde deler = 22 × 32 × 5 × 11 × 31 = 61.380
samengestelde deler = 27 × 32 × 5 × 11 = 63.360
samengestelde deler = 26 × 3 × 11 × 31 = 65.472
samengestelde deler = 24 × 33 × 5 × 31 = 66.960
samengestelde deler = 23 × 52 × 11 × 31 = 68.200
samengestelde deler = 28 × 52 × 11 = 70.400
samengestelde deler = 28 × 32 × 31 = 71.424
samengestelde deler = 23 × 33 × 11 × 31 = 73.656
samengestelde deler = 25 × 3 × 52 × 31 = 74.400
samengestelde deler = 28 × 33 × 11 = 76.032
samengestelde deler = 32 × 52 × 11 × 31 = 76.725
samengestelde deler = 25 × 32 × 52 × 11 = 79.200
samengestelde deler = 24 × 3 × 5 × 11 × 31 = 81.840
samengestelde deler = 22 × 33 × 52 × 31 = 83.700
samengestelde deler = 27 × 33 × 52 = 86.400
samengestelde deler = 28 × 11 × 31 = 87.296
samengestelde deler = 26 × 32 × 5 × 31 = 89.280
samengestelde deler = 2 × 33 × 5 × 11 × 31 = 92.070
samengestelde deler = 26 × 33 × 5 × 11 = 95.040
samengestelde deler = 25 × 32 × 11 × 31 = 98.208
samengestelde deler = 27 × 52 × 31 = 99.200
samengestelde deler = 22 × 3 × 52 × 11 × 31 = 102.300
samengestelde deler = 27 × 3 × 52 × 11 = 105.600
samengestelde deler = 27 × 33 × 31 = 107.136
samengestelde deler = 26 × 5 × 11 × 31 = 109.120
samengestelde deler = 24 × 32 × 52 × 31 = 111.600
samengestelde deler = 24 × 33 × 52 × 11 = 118.800
samengestelde deler = 28 × 3 × 5 × 31 = 119.040
samengestelde deler = 23 × 32 × 5 × 11 × 31 = 122.760
samengestelde deler = 28 × 32 × 5 × 11 = 126.720
samengestelde deler = 27 × 3 × 11 × 31 = 130.944
samengestelde deler = 25 × 33 × 5 × 31 = 133.920
samengestelde deler = 24 × 52 × 11 × 31 = 136.400
samengestelde deler = 24 × 33 × 11 × 31 = 147.312
samengestelde deler = 26 × 3 × 52 × 31 = 148.800
samengestelde deler = 2 × 32 × 52 × 11 × 31 = 153.450
samengestelde deler = 26 × 32 × 52 × 11 = 158.400
samengestelde deler = 25 × 3 × 5 × 11 × 31 = 163.680
samengestelde deler = 23 × 33 × 52 × 31 = 167.400
samengestelde deler = 28 × 33 × 52 = 172.800
samengestelde deler = 27 × 32 × 5 × 31 = 178.560
samengestelde deler = 22 × 33 × 5 × 11 × 31 = 184.140
samengestelde deler = 27 × 33 × 5 × 11 = 190.080
samengestelde deler = 26 × 32 × 11 × 31 = 196.416
samengestelde deler = 28 × 52 × 31 = 198.400
samengestelde deler = 23 × 3 × 52 × 11 × 31 = 204.600
samengestelde deler = 28 × 3 × 52 × 11 = 211.200
samengestelde deler = 28 × 33 × 31 = 214.272
samengestelde deler = 27 × 5 × 11 × 31 = 218.240
samengestelde deler = 25 × 32 × 52 × 31 = 223.200
samengestelde deler = 33 × 52 × 11 × 31 = 230.175
samengestelde deler = 25 × 33 × 52 × 11 = 237.600
samengestelde deler = 24 × 32 × 5 × 11 × 31 = 245.520
samengestelde deler = 28 × 3 × 11 × 31 = 261.888
samengestelde deler = 26 × 33 × 5 × 31 = 267.840
samengestelde deler = 25 × 52 × 11 × 31 = 272.800
samengestelde deler = 25 × 33 × 11 × 31 = 294.624
samengestelde deler = 27 × 3 × 52 × 31 = 297.600
samengestelde deler = 22 × 32 × 52 × 11 × 31 = 306.900
samengestelde deler = 27 × 32 × 52 × 11 = 316.800
samengestelde deler = 26 × 3 × 5 × 11 × 31 = 327.360
samengestelde deler = 24 × 33 × 52 × 31 = 334.800
samengestelde deler = 28 × 32 × 5 × 31 = 357.120
samengestelde deler = 23 × 33 × 5 × 11 × 31 = 368.280
samengestelde deler = 28 × 33 × 5 × 11 = 380.160
samengestelde deler = 27 × 32 × 11 × 31 = 392.832
samengestelde deler = 24 × 3 × 52 × 11 × 31 = 409.200
samengestelde deler = 28 × 5 × 11 × 31 = 436.480
samengestelde deler = 26 × 32 × 52 × 31 = 446.400
samengestelde deler = 2 × 33 × 52 × 11 × 31 = 460.350
samengestelde deler = 26 × 33 × 52 × 11 = 475.200
samengestelde deler = 25 × 32 × 5 × 11 × 31 = 491.040
samengestelde deler = 27 × 33 × 5 × 31 = 535.680
samengestelde deler = 26 × 52 × 11 × 31 = 545.600
samengestelde deler = 26 × 33 × 11 × 31 = 589.248
samengestelde deler = 28 × 3 × 52 × 31 = 595.200
samengestelde deler = 23 × 32 × 52 × 11 × 31 = 613.800
samengestelde deler = 28 × 32 × 52 × 11 = 633.600
samengestelde deler = 27 × 3 × 5 × 11 × 31 = 654.720
samengestelde deler = 25 × 33 × 52 × 31 = 669.600
samengestelde deler = 24 × 33 × 5 × 11 × 31 = 736.560
samengestelde deler = 28 × 32 × 11 × 31 = 785.664
samengestelde deler = 25 × 3 × 52 × 11 × 31 = 818.400
samengestelde deler = 27 × 32 × 52 × 31 = 892.800
samengestelde deler = 22 × 33 × 52 × 11 × 31 = 920.700
samengestelde deler = 27 × 33 × 52 × 11 = 950.400
samengestelde deler = 26 × 32 × 5 × 11 × 31 = 982.080
samengestelde deler = 28 × 33 × 5 × 31 = 1.071.360
samengestelde deler = 27 × 52 × 11 × 31 = 1.091.200
samengestelde deler = 27 × 33 × 11 × 31 = 1.178.496
samengestelde deler = 24 × 32 × 52 × 11 × 31 = 1.227.600
samengestelde deler = 28 × 3 × 5 × 11 × 31 = 1.309.440
samengestelde deler = 26 × 33 × 52 × 31 = 1.339.200
samengestelde deler = 25 × 33 × 5 × 11 × 31 = 1.473.120
samengestelde deler = 26 × 3 × 52 × 11 × 31 = 1.636.800
samengestelde deler = 28 × 32 × 52 × 31 = 1.785.600
samengestelde deler = 23 × 33 × 52 × 11 × 31 = 1.841.400
samengestelde deler = 28 × 33 × 52 × 11 = 1.900.800
samengestelde deler = 27 × 32 × 5 × 11 × 31 = 1.964.160
samengestelde deler = 28 × 52 × 11 × 31 = 2.182.400
samengestelde deler = 28 × 33 × 11 × 31 = 2.356.992
samengestelde deler = 25 × 32 × 52 × 11 × 31 = 2.455.200
samengestelde deler = 27 × 33 × 52 × 31 = 2.678.400
samengestelde deler = 26 × 33 × 5 × 11 × 31 = 2.946.240
samengestelde deler = 27 × 3 × 52 × 11 × 31 = 3.273.600
samengestelde deler = 24 × 33 × 52 × 11 × 31 = 3.682.800
samengestelde deler = 28 × 32 × 5 × 11 × 31 = 3.928.320
samengestelde deler = 26 × 32 × 52 × 11 × 31 = 4.910.400
samengestelde deler = 28 × 33 × 52 × 31 = 5.356.800
samengestelde deler = 27 × 33 × 5 × 11 × 31 = 5.892.480
samengestelde deler = 28 × 3 × 52 × 11 × 31 = 6.547.200
samengestelde deler = 25 × 33 × 52 × 11 × 31 = 7.365.600
samengestelde deler = 27 × 32 × 52 × 11 × 31 = 9.820.800
samengestelde deler = 28 × 33 × 5 × 11 × 31 = 11.784.960
samengestelde deler = 26 × 33 × 52 × 11 × 31 = 14.731.200
samengestelde deler = 28 × 32 × 52 × 11 × 31 = 19.641.600
samengestelde deler = 27 × 33 × 52 × 11 × 31 = 29.462.400
samengestelde deler = 28 × 33 × 52 × 11 × 31 = 58.924.800
432 gemene delers

Hoeveel maal hoeveel is 58.924.800?
Welk getal vermenigvuldigd met welk getal is gelijk aan 58.924.800?

Alle combinaties van twee natuurlijke getallen waarvan het product 58.924.800 is.

1 × 58.924.800 = 58.924.800
2 × 29.462.400 = 58.924.800
3 × 19.641.600 = 58.924.800
4 × 14.731.200 = 58.924.800
5 × 11.784.960 = 58.924.800
6 × 9.820.800 = 58.924.800
8 × 7.365.600 = 58.924.800
9 × 6.547.200 = 58.924.800
10 × 5.892.480 = 58.924.800
11 × 5.356.800 = 58.924.800
12 × 4.910.400 = 58.924.800
15 × 3.928.320 = 58.924.800
16 × 3.682.800 = 58.924.800
18 × 3.273.600 = 58.924.800
20 × 2.946.240 = 58.924.800
22 × 2.678.400 = 58.924.800
24 × 2.455.200 = 58.924.800
25 × 2.356.992 = 58.924.800
27 × 2.182.400 = 58.924.800
30 × 1.964.160 = 58.924.800
31 × 1.900.800 = 58.924.800
32 × 1.841.400 = 58.924.800
33 × 1.785.600 = 58.924.800
36 × 1.636.800 = 58.924.800
40 × 1.473.120 = 58.924.800
44 × 1.339.200 = 58.924.800
45 × 1.309.440 = 58.924.800
48 × 1.227.600 = 58.924.800
50 × 1.178.496 = 58.924.800
54 × 1.091.200 = 58.924.800
55 × 1.071.360 = 58.924.800
60 × 982.080 = 58.924.800
62 × 950.400 = 58.924.800
64 × 920.700 = 58.924.800
66 × 892.800 = 58.924.800
72 × 818.400 = 58.924.800
75 × 785.664 = 58.924.800
80 × 736.560 = 58.924.800
88 × 669.600 = 58.924.800
90 × 654.720 = 58.924.800
93 × 633.600 = 58.924.800
96 × 613.800 = 58.924.800
99 × 595.200 = 58.924.800
100 × 589.248 = 58.924.800
108 × 545.600 = 58.924.800
110 × 535.680 = 58.924.800
120 × 491.040 = 58.924.800
124 × 475.200 = 58.924.800
128 × 460.350 = 58.924.800
132 × 446.400 = 58.924.800
135 × 436.480 = 58.924.800
144 × 409.200 = 58.924.800
150 × 392.832 = 58.924.800
155 × 380.160 = 58.924.800
160 × 368.280 = 58.924.800
165 × 357.120 = 58.924.800
176 × 334.800 = 58.924.800
180 × 327.360 = 58.924.800
186 × 316.800 = 58.924.800
192 × 306.900 = 58.924.800
198 × 297.600 = 58.924.800
200 × 294.624 = 58.924.800
216 × 272.800 = 58.924.800
220 × 267.840 = 58.924.800
225 × 261.888 = 58.924.800
240 × 245.520 = 58.924.800
248 × 237.600 = 58.924.800
256 × 230.175 = 58.924.800
264 × 223.200 = 58.924.800
270 × 218.240 = 58.924.800
275 × 214.272 = 58.924.800
279 × 211.200 = 58.924.800
288 × 204.600 = 58.924.800
297 × 198.400 = 58.924.800
300 × 196.416 = 58.924.800
310 × 190.080 = 58.924.800
320 × 184.140 = 58.924.800
330 × 178.560 = 58.924.800
341 × 172.800 = 58.924.800
352 × 167.400 = 58.924.800
360 × 163.680 = 58.924.800
372 × 158.400 = 58.924.800
384 × 153.450 = 58.924.800
396 × 148.800 = 58.924.800
400 × 147.312 = 58.924.800
432 × 136.400 = 58.924.800
440 × 133.920 = 58.924.800
450 × 130.944 = 58.924.800
465 × 126.720 = 58.924.800
480 × 122.760 = 58.924.800
495 × 119.040 = 58.924.800
496 × 118.800 = 58.924.800
528 × 111.600 = 58.924.800
540 × 109.120 = 58.924.800
550 × 107.136 = 58.924.800
558 × 105.600 = 58.924.800
576 × 102.300 = 58.924.800
594 × 99.200 = 58.924.800
600 × 98.208 = 58.924.800
620 × 95.040 = 58.924.800
640 × 92.070 = 58.924.800
660 × 89.280 = 58.924.800
675 × 87.296 = 58.924.800
682 × 86.400 = 58.924.800
704 × 83.700 = 58.924.800
720 × 81.840 = 58.924.800
744 × 79.200 = 58.924.800
768 × 76.725 = 58.924.800
775 × 76.032 = 58.924.800
792 × 74.400 = 58.924.800
800 × 73.656 = 58.924.800
825 × 71.424 = 58.924.800
837 × 70.400 = 58.924.800
864 × 68.200 = 58.924.800
880 × 66.960 = 58.924.800
900 × 65.472 = 58.924.800
930 × 63.360 = 58.924.800
960 × 61.380 = 58.924.800
990 × 59.520 = 58.924.800
992 × 59.400 = 58.924.800
1.023 × 57.600 = 58.924.800
1.056 × 55.800 = 58.924.800
1.080 × 54.560 = 58.924.800
1.100 × 53.568 = 58.924.800
1.116 × 52.800 = 58.924.800
1.152 × 51.150 = 58.924.800
1.188 × 49.600 = 58.924.800
1.200 × 49.104 = 58.924.800
1.240 × 47.520 = 58.924.800
1.280 × 46.035 = 58.924.800
1.320 × 44.640 = 58.924.800
1.350 × 43.648 = 58.924.800
1.364 × 43.200 = 58.924.800
1.395 × 42.240 = 58.924.800
1.408 × 41.850 = 58.924.800
1.440 × 40.920 = 58.924.800
1.485 × 39.680 = 58.924.800
1.488 × 39.600 = 58.924.800
1.550 × 38.016 = 58.924.800
1.584 × 37.200 = 58.924.800
1.600 × 36.828 = 58.924.800
1.650 × 35.712 = 58.924.800
1.674 × 35.200 = 58.924.800
1.705 × 34.560 = 58.924.800
1.728 × 34.100 = 58.924.800
1.760 × 33.480 = 58.924.800
1.800 × 32.736 = 58.924.800
1.860 × 31.680 = 58.924.800
1.920 × 30.690 = 58.924.800
1.980 × 29.760 = 58.924.800
1.984 × 29.700 = 58.924.800
2.046 × 28.800 = 58.924.800
2.112 × 27.900 = 58.924.800
2.160 × 27.280 = 58.924.800
2.200 × 26.784 = 58.924.800
2.232 × 26.400 = 58.924.800
2.304 × 25.575 = 58.924.800
2.325 × 25.344 = 58.924.800
2.376 × 24.800 = 58.924.800
2.400 × 24.552 = 58.924.800
2.475 × 23.808 = 58.924.800
2.480 × 23.760 = 58.924.800
2.640 × 22.320 = 58.924.800
2.700 × 21.824 = 58.924.800
2.728 × 21.600 = 58.924.800
2.790 × 21.120 = 58.924.800
2.816 × 20.925 = 58.924.800
2.880 × 20.460 = 58.924.800
2.970 × 19.840 = 58.924.800
2.976 × 19.800 = 58.924.800
3.069 × 19.200 = 58.924.800
3.100 × 19.008 = 58.924.800
3.168 × 18.600 = 58.924.800
3.200 × 18.414 = 58.924.800
3.300 × 17.856 = 58.924.800
3.348 × 17.600 = 58.924.800
3.410 × 17.280 = 58.924.800
3.456 × 17.050 = 58.924.800
3.520 × 16.740 = 58.924.800
3.600 × 16.368 = 58.924.800
3.720 × 15.840 = 58.924.800
3.840 × 15.345 = 58.924.800
3.960 × 14.880 = 58.924.800
3.968 × 14.850 = 58.924.800
4.092 × 14.400 = 58.924.800
4.185 × 14.080 = 58.924.800
4.224 × 13.950 = 58.924.800
4.320 × 13.640 = 58.924.800
4.400 × 13.392 = 58.924.800
4.464 × 13.200 = 58.924.800
4.650 × 12.672 = 58.924.800
4.752 × 12.400 = 58.924.800
4.800 × 12.276 = 58.924.800
4.950 × 11.904 = 58.924.800
4.960 × 11.880 = 58.924.800
5.115 × 11.520 = 58.924.800
5.280 × 11.160 = 58.924.800
5.400 × 10.912 = 58.924.800
5.456 × 10.800 = 58.924.800
5.580 × 10.560 = 58.924.800
5.760 × 10.230 = 58.924.800
5.940 × 9.920 = 58.924.800
5.952 × 9.900 = 58.924.800
6.138 × 9.600 = 58.924.800
6.200 × 9.504 = 58.924.800
6.336 × 9.300 = 58.924.800
6.400 × 9.207 = 58.924.800
6.600 × 8.928 = 58.924.800
6.696 × 8.800 = 58.924.800
6.820 × 8.640 = 58.924.800
6.912 × 8.525 = 58.924.800
6.975 × 8.448 = 58.924.800
7.040 × 8.370 = 58.924.800
7.200 × 8.184 = 58.924.800
7.425 × 7.936 = 58.924.800
7.440 × 7.920 = 58.924.800
216 unieke vermenigvuldigingen

471.398.400 en 766.022.400 hebben 432 gemene delers:
1; 2; 3; 4; 5; 6; 8; 9; 10; 11; 12; 15; 16; 18; 20; 22; 24; 25; 27; 30; 31; 32; 33; 36; 40; 44; 45; 48; 50; 54; 55; 60; 62; 64; 66; 72; 75; 80; 88; 90; 93; 96; 99; 100; 108; 110; 120; 124; 128; 132; 135; 144; 150; 155; 160; 165; 176; 180; 186; 192; 198; 200; 216; 220; 225; 240; 248; 256; 264; 270; 275; 279; 288; 297; 300; 310; 320; 330; 341; 352; 360; 372; 384; 396; 400; 432; 440; 450; 465; 480; 495; 496; 528; 540; 550; 558; 576; 594; 600; 620; 640; 660; 675; 682; 704; 720; 744; 768; 775; 792; 800; 825; 837; 864; 880; 900; 930; 960; 990; 992; 1.023; 1.056; 1.080; 1.100; 1.116; 1.152; 1.188; 1.200; 1.240; 1.280; 1.320; 1.350; 1.364; 1.395; 1.408; 1.440; 1.485; 1.488; 1.550; 1.584; 1.600; 1.650; 1.674; 1.705; 1.728; 1.760; 1.800; 1.860; 1.920; 1.980; 1.984; 2.046; 2.112; 2.160; 2.200; 2.232; 2.304; 2.325; 2.376; 2.400; 2.475; 2.480; 2.640; 2.700; 2.728; 2.790; 2.816; 2.880; 2.970; 2.976; 3.069; 3.100; 3.168; 3.200; 3.300; 3.348; 3.410; 3.456; 3.520; 3.600; 3.720; 3.840; 3.960; 3.968; 4.092; 4.185; 4.224; 4.320; 4.400; 4.464; 4.650; 4.752; 4.800; 4.950; 4.960; 5.115; 5.280; 5.400; 5.456; 5.580; 5.760; 5.940; 5.952; 6.138; 6.200; 6.336; 6.400; 6.600; 6.696; 6.820; 6.912; 6.975; 7.040; 7.200; 7.425; 7.440; 7.920; 7.936; 8.184; 8.370; 8.448; 8.525; 8.640; 8.800; 8.928; 9.207; 9.300; 9.504; 9.600; 9.900; 9.920; 10.230; 10.560; 10.800; 10.912; 11.160; 11.520; 11.880; 11.904; 12.276; 12.400; 12.672; 13.200; 13.392; 13.640; 13.950; 14.080; 14.400; 14.850; 14.880; 15.345; 15.840; 16.368; 16.740; 17.050; 17.280; 17.600; 17.856; 18.414; 18.600; 19.008; 19.200; 19.800; 19.840; 20.460; 20.925; 21.120; 21.600; 21.824; 22.320; 23.760; 23.808; 24.552; 24.800; 25.344; 25.575; 26.400; 26.784; 27.280; 27.900; 28.800; 29.700; 29.760; 30.690; 31.680; 32.736; 33.480; 34.100; 34.560; 35.200; 35.712; 36.828; 37.200; 38.016; 39.600; 39.680; 40.920; 41.850; 42.240; 43.200; 43.648; 44.640; 46.035; 47.520; 49.104; 49.600; 51.150; 52.800; 53.568; 54.560; 55.800; 57.600; 59.400; 59.520; 61.380; 63.360; 65.472; 66.960; 68.200; 70.400; 71.424; 73.656; 74.400; 76.032; 76.725; 79.200; 81.840; 83.700; 86.400; 87.296; 89.280; 92.070; 95.040; 98.208; 99.200; 102.300; 105.600; 107.136; 109.120; 111.600; 118.800; 119.040; 122.760; 126.720; 130.944; 133.920; 136.400; 147.312; 148.800; 153.450; 158.400; 163.680; 167.400; 172.800; 178.560; 184.140; 190.080; 196.416; 198.400; 204.600; 211.200; 214.272; 218.240; 223.200; 230.175; 237.600; 245.520; 261.888; 267.840; 272.800; 294.624; 297.600; 306.900; 316.800; 327.360; 334.800; 357.120; 368.280; 380.160; 392.832; 409.200; 436.480; 446.400; 460.350; 475.200; 491.040; 535.680; 545.600; 589.248; 595.200; 613.800; 633.600; 654.720; 669.600; 736.560; 785.664; 818.400; 892.800; 920.700; 950.400; 982.080; 1.071.360; 1.091.200; 1.178.496; 1.227.600; 1.309.440; 1.339.200; 1.473.120; 1.636.800; 1.785.600; 1.841.400; 1.900.800; 1.964.160; 2.182.400; 2.356.992; 2.455.200; 2.678.400; 2.946.240; 3.273.600; 3.682.800; 3.928.320; 4.910.400; 5.356.800; 5.892.480; 6.547.200; 7.365.600; 9.820.800; 11.784.960; 14.731.200; 19.641.600; 29.462.400 en 58.924.800
waarvan 5 priemfactoren: 2; 3; 5; 11 en 31.
Getallen anders dan 1 die geen priemfactoren zijn, zijn de samengestelde delers.

Soortgelijke bewerkingen, het berekenen van de gemeenschappelijke delers van getallen:

» Gemeenschappelijke delers van 471.398.392 en 766.022.443. Rekenmachine voor priem- en samengestelde delers, indien aanwezig

» Maandelijkse bewerkingen: Berekende (gemeenschappelijke) delers van één of twee getallen

» Maand 06, 2026 [Juni]: Berekende (gemeenschappelijke) delers van één of twee getallen


Delen

Delers, gemene delers, de grootste gemene deler, ggd

  • Als het getal "t" een deler is van het getal "a" dan komen we bij het ontbinden in priemfactoren van "t" alleen priemfactoren tegen die ook voorkomen bij het ontbinden in priemfactoren van "a".
  • Als er exponenten bij betrokken zijn, is de maximale waarde van een exponent voor elk grondtal van een macht die wordt gevonden bij het ontbinden in priemfactoren van "t" maximaal gelijk aan de exponent van hetzelfde grondtal dat betrokken is bij het ontbinden in priemfactoren van "a".
  • Tip: 23 = 2 × 2 × 2 = 8. 2 wordt het grondtal genoemd en 3 is de exponent. 23 is het vermogen en 8 is de waarde van het vermogen. 23 = we zeggen 2 tot de derde macht.
  • Bijvoorbeeld 12 is een deler van 120 - de rest is nul bij het delen van 120 door 12.
  • Laten we eens kijken naar het ontbinden in priemfactoren van beide getallen en let op de bases en de exponenten:
  • 12 = 2 × 2 × 3 = 22 × 3
  • 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
  • 120 bevat alle priemfactoren van 12, en alle exponenten van de bases zijn hoger dan die van 12.
  • Als "t" een gemene deler is van "a" en "b", dan bevat de ontbinding in priemfactoren van "t" alleen de gemeenschappelijke priemfactoren die betrokken zijn bij de ontbinding van zowel "a" als "b" ".
  • Als er exponenten bij betrokken zijn, is de maximale waarde van een exponent voor elk grondtal van een macht die wordt gevonden in de ontbinding in priemfactoren van "t" hoogstens gelijk aan het minimum van de exponenten van hetzelfde grondtal dat betrokken is bij de ontbinden in priemfactoren van zowel "a" als "b".
  • Bijvoorbeeld: 12 is de gemene deler van 48 en 360.
  • De rest is nul bij het delen van 48 of 360 door 12.
  • Hier zijn de ontbindingen in priemgetallen van de drie getallen, 12, 48 en 360:
  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • Houd er rekening mee dat 48 en 360 meer delers hebben: 2, 3, 4, 6, 8, 12, 24. Onder hen is 24 de grootste gemene deler, ggd, van 48 en 360.
  • De grootste gemene deler, ggd, van twee getallen, "a" en "b", is het product van alle gemeenschappelijke priemfactoren die betrokken zijn bij het ontbinden in priemfactoren van zowel "a" als "b ", genomen door de laagste exponenten.
  • Op basis van deze regel wordt de grootste gemene deler, ggd, van meerdere getallen berekend, zoals in onderstaand voorbeeld...
  • ggd (1.260; 3.024; 5.544) = ?
  • 1.260 = 22 × 32
  • 3,024 = 24 × 32 × 7
  • 5.544 = 23 × 32 × 7 × 11
  • De gemeenschappelijke priemfactoren zijn:
  • 2 - de laagste exponent is: min.(2; 3; 4) = 2
  • 3 - de laagste exponent is: min.(2; 2; 2) = 2
  • ggd (1.260; 3.024; 5.544) = 22 × 32 = 252
  • Relatief priemgetallen:
  • Als twee getallen "a" en "b" geen andere gemene deler hebben dan 1, ggd (a; b) = 1, dan worden de getallen "a" en "b" relatief priem genoemd.
  • Delers van de ggd
  • Als "a" en "b" geen relatief priemgetal zijn, dan is elke gemene deler van "a" en "b" ook een deler van de grootste gemene deler, ggd, van "a" en "b".