Question

determine o m.d.c dos numeros
a) 112e 70
b) 90 e 225
c) 504 e 588
d) 39,65e91
е) 144, 216 е 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

-----------

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

Answer 2

a. 14

b. 45

c. 84

d. 13

e. 72

contas:

a. 112 e 70

112,70| 2  

56,35| 2

28,35| 2

 14,35| 2

  7,35| 5

    7,7| 7  

    1,1| 2.2.2.2.5.7

2.7

14

R. 14

-----------

b. 90 e 225

90,225| 2

45,225| 3

   15,75| 3

    5,25| 5

       1,5| 5

        1,1|  2.3.3.5.5

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| 2.2.2.3.3.7.7.

 

 2.2.3.7

4.21

84

R: 84

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

d. 39,65 e 91

39,65,91| 3

 13,65,91| 5

  13,13,91| 7

  13,13,13| 13

        1,1,1| 3.5.7.13

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| 2.2.2.2.2.3.3.3

2.2.2.3.3

8.9

72

R. 72

espero ter ajudado <3

vitoriatenilly8