Question

4. Utilizando a fatoração dos números, calcule:
a) MDC (16, 24)
b) MDC (12, 36)
c) MDC (28, 42)
d) MDC (36,45)
e) MDC (18,36,72)​

Answer 1

Resposta:

MDC (16, 24) = 8

MDC (12, 36) = 12

MDC (28, 42) = 14

MDC (36, 45) = 9

MDC (18, 36, 72) = 18

Explicação passo-a-passo:

16, 24 | 2

8, 12 | 2

4. 6 | 2

2, 3 |

2 X 2 X 2 = 8

____________

12/12=1

36/12=3

_______

28 | 2 42 | 2

14 | 2 21 | 3

7 | 7 7 | 7

1 | 1 |

42 | 2

21 | 3

7 | 7

1 |

2 * 7 = 14

mdc (28, 42) = 14

______________

18, 36, 72 | 2

9, 18, 36 | 2

9, 9, 18 | 2

9, 9, 9 | 3

3, 3, 3 | 3

1, 1, 1

MDC = 2 . 3 . 3 = 18

MDC = 18