Question

3- Determine o m.d.c dos números.
a) 112e 70 b) 90 e 225 c) 504 e 588 d) 39,65e91 e) 144,216 e 288​

Answer 1

Resposta:

Explicação passo-a-passo:

Máximo divisor comum:

Divide todos ao mesmo tempo.

a) mdc (112 e 70) = 14

112,70: 2 (*)

56,35: 2

28, 35: 2

14, 35: 2

7, 35: 5

7,7: 7 (*)

1,1

= 2.7

= 14

R.: 14

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b) 90 e 225

90, 225: 2

45, 225: 3 (*)

15, 75: 3 (*)

5, 25 : 5 (*)

1, 5: 5

1,1

= 3.3.5

= 45

R.: 45

------------

c) 504 e 588

504, 588: 2 (*)

252, 294: 2 (*)

126, 147: 2

63, 147: 3 (*)

21, 49: 3

7, 49: 7 (*)

1,7: 7

-------

1,1

= 2.2.3.7

= 4.21

= 84

R.: 84

-------------

d)

39,65, 91 : 3

13, 65, 91: 5

13, 13, 91: 7

13,13, 13: 13 (*)

1,1,1

R.: 13

------------

е) 144, 216 е 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

= 2.2.2.3.3

= 8.9

= 72

R.: 72