Question

aplicando a decomposição em fatores primos, determine o mdc entre os números:

a) 32 e 48

b) 60 e 72

c) 75 e 125

d) 70. 90 e 120

e) 198, 126 e 54

f) 28, 70 e 84

Answer 1

Vamos lá

A )

38, 48 | 2

19, 24 | 1

1, 1

MDC = 2 • 1 = 2

B)

60, 72 | 2

30, 36 | 2

15, 18 | 3

5, 6 | 1

1, 1

MDC = 2² • 3 • 1 = 12

C)

75, 25 | 5

15, 5 | 5

3, 1 | 1

1, 1

MDC = 5² • 1 = 25

D )

70, 90, 120 | 2

35, 45, 60 | 5

7, 9, 12 | 1

1, 1, 1

MDC = 2 • 5 • 1 = 10

E )

198, 126, 54 | 2

99, 63, 27 | 3

33, 21, 9 | 3

11, 7, 3 | 1

1, 1, 1

MDC = 2 • 3² • 1 = 18

F)

28, 70, 84 | 2

14, 35, 42 | 7

2, 5, 6 | 1

1, 1, 1

MDC = 2 • 7 • 1 = 14