Question

aplicando a decomposição em fatores primos,determine o mdc entre os numeros: 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 me ajuda pff​

Answer 1

Resposta:

a)32 e 48 = MDC( 32,48) = 2.2.2.2 = 16

b)60 e 72 = MDC(60,72) = 2.2.3 = 12

c)75 e 125 = MDC(75, 125) = 5.5 = 25

d)70,90 e 12 = MDC(70, 90, 120) = 2.5 = 10

e)198,126 e 5 = MDC(198, 126) = 2.3.3 = 18

f)28,70 e 84 = MDC(28,70,84) = 2.7 = 14

Explicação passo a passo:

A)

32,48 | 2

16, 24 | 2

8, 12 | 2

4, 6 | 2

2, 3 | 2

1, 3 | 3

1, 1/ MDC( 32,48) = 2.2.2.2 = 16

B)

60, 72 | 2

30, 36 | 2

15, 18 | 2

15, 9 | 3

5, 3 | 3

5, 1 | 5

1, 1/ MDC(60,72) = 2.2.3 = 12

C)

75, 125 | 3

25, 125 | 5

5, 25 | 5

1, 5 | 5

1, 1 / MDC(75, 125) = 5.5 = 25

D)

70, 90, 120 | 2

35, 45 , 60 | 2

35, 45, 30 | 2

35, 45, 15 | 3

35, 15, 5 | 3

35, 5, 5 | 5

7, 1, 1 | 7

1, 1, 1 / MDC(70, 90, 120) = 2.5 = 10

E)

198, 126 | 2

99, 63 | 3

33, 21 | 3

11, 7 | 7

11, 1 | 11

1, 1/ MDC(198, 126) = 2.3.3 = 18

F)

28, 70, 84 | 2

14, 35, 42 | 2

7, 35, 21 | 3

7, 35, 7 | 7

1, 5, 1 | 5

1, 1, 1/ MDC(28,70,84) = 2.7 = 14