Question

42. Determine o máximo divisor comum dos números dados a seguir, usando o processo da fatoração
simultânea.
a) mdc(34, 39) =
dl mdc164, 80, 96) =
el mdc(27, 90, 108) =
b) mdc(48, 60) =
f] mdc(52, 130, 156) =
c) mdc184, 140) =​

Answer 1

a)

34, 39 / 2

17, 39 / 3

17, 13 / 13

17, 1 / 17

1, 1 /

34 e 39 são primos entre si

d)

80, 96, 164 / 2*

40, 48, 82/ 2*

20, 24, 41 / 2

10, 12, 41 / 2

5, 6, 41 / 2

5, 3, 41 / 3

5, 1, 41 / 5

1, 1, 41 / 41

1, 1 /

mdc 80, 96, 164 = 2 . 2 = 4

e)

27, 90, 108 / 2

27, 45, 54 / 2

27, 45, 27 / 3*

9, 15, 9 / 3*

3, 5, 3 / 3

1, 5, 1 / 5

1, 1, 1 /

mdc 27, 90, 108 = 3 . 3 = 9

b)

48, 60 / 2*

24, 30 / 2*

12, 15 / 2

6, 15 / 2

3, 15 / 3*

1, 5 / 5

1, 1 /

mdc 48, 60 = 2 . 2 . 3 = 12

f)

52, 130, 156 / 2*

26, 65, 78 / 2

13, 65, 39 / 3

13, 65, 13 / 5

13, 13, 13 / 13*

1, 1, 1 /

mdc 52, 130, 156 = 2 . 13 = 26

c)

140, 184 / 2*

70, 92 / 2*

35, 46 / 2

35, 23 / 5

7, 23 / 7

1, 23 / 23

1, 1 /

mdc 140, 184 = 2 . 2 = 4

(Obs. Você escreveu as questões fora de ordem, então respondi da forma que li)