Question

calcule o mdc dos números a)112 e 60 b)90 e 225 c)504 e 588 d)39,65 e 91 e)114 ,216,288 ​

Answer 1

Olá...

O MDC de:

a) 112, 60

112, 60 | 2

56, 30 | 2

28, 15 | 2

14, 15 | 2

7, 15 | 3

7, 5 | 5

7, 1 | 7

1, 1

MDC = 2 . 2 = 4

MDC = 4

b) 90, 225

90, 225 | 2

45, 225 | 3

15, 75 | 3

5, 25 | 5

1, 5 | 5

1, 1

MDC = 3 . 3 . 5 = 45

MDC = 45

c) 504, 588

504, 588 | 2

252, 294 | 2

126, 147 | 2

63, 147 | 3

21, 49 | 3

7, 49 | 7

1, 7 | 7

1, 1

MDC = 2 . 2 . 3 . 7 = 84

MDC = 84

d) 39, 65, 91

39, 65, 91 | 3

13, 65, 91 | 5

13, 13, 91 | 7

13, 13, 13 | 13

1, 1, 1

MDC = 13

e) 114, 216, 288 ​

114, 216, 288 | 2

57, 108, 144 | 2

57, 54, 72 | 2

57, 27, 36 | 2

57, 27, 18 | 2

57, 27, 9 | 3

19, 9, 3 | 3

19, 3, 1 | 3

19, 1, 1 | 19

1, 1, 1

MDC = 2 . 3 = 6

MDC =6

Bons estudos.