Utilizando o método das divisões sucessivas, determine o MDC de:
a)60,90,120
b)42,105,147
c)20,162
d)35,45
a)60,90,120
b)42,105,147
c)20,162
d)35,45
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a)
60,90,120 2
30 45 60 2
15 45 30 2
15 45 15 3 MDC(60, 90, 30) = 2*3*5 = 30
5 15 5 3
5 5 5 5
1 1 1
b)
42,105,147 2
21 105 147 3
7 35 49 5 MDC(42,105,147) = 21
7 7 49 7
1 1 7 7
1 1 1
c)
20,162 2
10 81 2
5 81 3
5 27 3 MDC(20,162) = 2
5 9 3
5 3 3
5 1 5
1 1
d)
35,45 3
35 15 3 MDC(35, 45) = 5
35 5 5
7 1 7
1 1