Question

calcule MDC A) 39,65,91. B) 56, 84, ,210. C) 144,216,288. ​

Answer 1

Olá...

O MDC são fatores comuns de menores expoentes:

O MDC de:

a) 39, 65, 91

39, 65, 91 | 3

13, 65, 91 | 5

13, 13, 91 | 7

13, 13, 13 | 13

1, 1, 1

MDC = 13

b) 56, 84, 210

56, 84, 210 | 2

28, 42, 105 | 2

14, 21, 105 | 2

7, 21, 105 | 3

7, 7, 35 | 5

7, 7, 7 | 7

1, 1, 1

MDC = 2 . 7 = 14

MDC = 14

c) 144, 216, 288

​144, 216, 288 | 2

72, 108, 144 | 2

36, 54, 72 | 2

18, 27, 36 | 2

9, 27, 18 | 2

9, 27, 9 | 3

3, 9, 3 | 3

1, 3, 1 | 3

1, 1, 1

MDC = 2 . 2 . 2 . 3 . 3 = 72

MDC = 72

Espero ter ajudado.