Question

3- Determine o m.d.c. dos números:
a) 112 e 70
b) 90 e 225
c) 504 e 588
d) 39, 65 e 91​

Answer 1

a) 560.

b) 450.

c) 3.528.

d) 1.365

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.