Question

determine o m.d.c dos números

a)112 e 70
b)90 e 225
c)504 e 588
d)39,65 e 91
e)144, 216 e 288​

Answer 1

Resposta:

Resposta:

a) 560.

b) 450.

c) 3.528.

d) 1.365.

e) 864.

Explicação passo-a-passo:

a)

112, 70 | ÷ 2

56, 35 | ÷ 2

28, 35 | ÷ 2

14, 35 | ÷ 2

7, 35 | ÷ 5

7, 7 | ÷ 7

1, 1 | 2 · 2 · 2 · 2 · 5 · 7 = 560.

b)

90, 225 | ÷ 2

45, 225 | ÷ 3

15, 75 | ÷ 3

5, 25 | ÷ 5

1, 5 | ÷ 5

1, 1 | 2 · 3 · 3 · 5 · 5 = 450.

c)

504, 588 | ÷ 2

252, 294 | ÷ 2

126, 147 | ÷ 2

63, 147 | ÷ 3

21, 49 | ÷ 3

7, 49 | ÷ 7

1, 7 | ÷ 7

1, 1 | 2 · 2 · 2 · 3 · 3 · 7 · 7 = 3.528.

d)

39, 65 e 91 | ÷ 3

13, 65, 91 | ÷ 5

13, 13, 91 | ÷ 7

13, 13, 13 | ÷ 13

1, 1, 1 | 3 · 5 · 7 · 13 = 1.365.

e)

144, 216 e 288 | ÷ 2

72, 108, 144 | ÷ 2

36, 54, 72 | ÷ 2

18, 27, 36 | ÷ 2

9, 27, 18 | ÷ 2

9, 27, 9 | ÷ 3

3, 9, 3 | ÷ 3

1, 3, 1 | ÷ 3

1, 1, 1 | 2 · 2 · 2 · 2 · 2 · 3 · 3 · 3 = 864.

Explicação passo-a-passo: