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Zen
@Zen
April 2019
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Svp aider moii
Determiner lr PGCD de deux nombres dans chaucun des cas suivants en utilisant l algorithme des differences:
A)285 et 114 b) 500 et 448 d) 3575 et 2730
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slyz007
Verified answer
Algorithme d'Euclide:
A) 285=114*2+57
114=57*2+0
Donc le PGCD(285;114)=57
B) 500=448*1+52
448=52*8+32
52=32*1+20
32=20*1+12
20=12*1+8
12=8*1+4
8=4*2+0
Donc PGCD(500;448)=4
C) 3575=2730*1+845
2730=845*3+195
845=195*4+65
195=65*3+0
PGCD(3575;2730)=65
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Verified answer
Algorithme d'Euclide:A) 285=114*2+57
114=57*2+0
Donc le PGCD(285;114)=57
B) 500=448*1+52
448=52*8+32
52=32*1+20
32=20*1+12
20=12*1+8
12=8*1+4
8=4*2+0
Donc PGCD(500;448)=4
C) 3575=2730*1+845
2730=845*3+195
845=195*4+65
195=65*3+0
PGCD(3575;2730)=65