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louis2006
@louis2006
June 2021
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Bonjour je pourrais avoir les réponse de cette exercice :
a-Calcule le PGCD de 138 et 63 en utilisant la méthode des divisions successives
b-Combien d'étapes nécessite la méthode des soustractions successives ?
merci
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MrEagle
A) 138 = 63 x 2 + 12
63 = 12 x 5 + 3
12 = 3 x 4 + 0
PGCD ( 138 ; 63 ) = 3
b) 138 - 63 = 75
75 - 63 = 12
63 - 12 = 51
51 - 12 = 39
39 - 12 = 27
27 - 12 = 15
15 - 12 = 3
12 - 3 = 9
9 - 3 = 6
6 - 3 = 3
3 - 3 = 0
PGCD ( 138 ; 63 ) = 3
11 étapes pour les soustractions successives
1 votes
Thanks 1
louis2006
merci !!!!!!!!!!!!!!!!!!
MrEagle
De rien :)
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63 = 12 x 5 + 3
12 = 3 x 4 + 0
PGCD ( 138 ; 63 ) = 3
b) 138 - 63 = 75
75 - 63 = 12
63 - 12 = 51
51 - 12 = 39
39 - 12 = 27
27 - 12 = 15
15 - 12 = 3
12 - 3 = 9
9 - 3 = 6
6 - 3 = 3
3 - 3 = 0
PGCD ( 138 ; 63 ) = 3
11 étapes pour les soustractions successives