Question

Calcule o MDC:
a) 108,120 b) 64,128 c) 88,100 d) 170,55 e) 150, 350 f) 100,120,150

Answer 1

Olá...

Calcule o MDC:

a) 108,120

108, 120 | 2

54, 60 | 2

27, 30 | 2

27, 15 | 3

9, 5 | 3

3, 5 | 3

1, 5 | 5

1, 1

MDC = 2 . 2 . 3 = 12

MDC = 12

b) 64,128

64, 128 | 2

32, 64 | 2

16, 32 | 2

8, 16 | 2

4, 8 | 2

2, 4 | 2

1, 2 | 2

1, 1

MDC = 2 . 2 = 4

MDC = 4

c) 88,100

88, 100 | 2

44, 50 | 2

22, 25 | 2

11, 25 | 5

11, 5 | 5

11, 1 | 11

1, 1

MDC = 2 . 2 = 4

MDC = 4

d) 170,55

170, 55 | 2

85, 55 | 5

17, 11 | 11

17, 1 | 17

1, 1

MDC = 5

e) 150, 350

150, 350 | 2

75, 175 | 3

25, 175 | 5

5, 35 | 5

1, 7 | 7

1, 1

MDC = 2 . 5 . 5 = 50

MDC = 50

f) 100,120,150

100, 120, 150 | 2

50, 60, 75 | 2

25, 30, 75 | 2

25, 15, 75 | 3

25, 5, 25 | 5

5, 1, 5 | 5

1, 1, 1

MDC = 2 . 5 = 10

MDC = 10

Bons estudos.