Question

Calcule o m.d.c entre os números a seguir.
a) 12 e 16
b) 18 e 60
d) 36 e 54
d) 75 e 125​

Answer 1

a) 12, 16 | 2

6, 8 | 2

3, 4 | 2

3, 2 | 2

3, 1 | 3

1, 1 | 1

MMC = 2 . 2 . 2 . 2 . 3 = 48

MDC = 2² = 4

b) 18, 60 | 2

9, 30 | 2

9, 15 | 3

3, 5 | 3

1, 5 | 5

1, 1 | 1

MMC = 2 . 2 . 3 . 3 . 5 = 180

MDC = 2 . 3 = 6

c) 36, 54 | 2

18, 27 | 2

9, 27 | 3

3, 9 | 3

1, 3 | 3

1, 1 | 1

MMC = 2 . 2 . 3 . 3 . 3 = 108

MDC = 2 . 3² = 18

d) 75, 125 | 3

25, 125 | 5

5, 25 | 5

1, 5 | 5

1, 1 | 1

MMC = 3 . 5 . 5 . 5 = 375

MDC = 5² = 25