Question

Determine o mmc e o mdc de 85,136 e 17

18,54 e 266

Answer 1

Fatorando 85,136, logo

85 | 136 | 2

85 | 68 | 2

85 | 34 | 2

85 | 17 | 5

17 | 17 | 17 

1 | 1 | ===> 2³ . 5 . 17

MMc de 85, 136 = 680

MDC de 85, 136 = 17

===
Fatorando 17, 18, logo

17 | 18 | 2

17 | 9 | 3

17 | 3 | 3

17 | 3 | 3

17 | 1 | 17

1 | 1 |===> 2 . 3³ . 17

MMC de 17, 18 = 306

MDC de 17, 18 = 1

===


Fatorando 54, 266, logo

54 | 266 | 2

27 | 133 | 3

9 | 133 | 3

3 | 133 | 3

1 | 133 | 7

1 | 19 | 19

1 | 1 |===> 2 . 3³.7.19

MMC de 54, 266 = 7182

MDC de 54, 266 = 2