Question

11. Calcula, utilizando a decomposição em fatores primos:

11.1 m.d.c. (144, 216)

11.2 m.m.c. (144, 216)

11.3 m.d.c. (125, 200)

11.4 m.m.c. (125, 200)

Answer 1

Explicação passo-a-passo:

11. Calcula, utilizando a decomposição em fatores primos:

11.1 m.d.c. (144, 216)

144,216: 2(*)

72,108: 2(*)

36,54: 2(*)

18,27: 2

9, 27: 3(*)

3,9: 3 (*)

1,3: 3

----------

1,1

= 2.2.2.3.3

= 8.9

= 72

R.: mdc = 72

_____________

11.2 m.m.c. (144, 216)

144,216: 2(*)

72,108: 2(*)

36,54: 2(*)

18,27: 2

9, 27: 3(*)

3,9: 3 (*)

1,3: 3

---------

1,1

= 2.2.2.2.3.3.3

= 2⁴.3³

= 2.3.2.3.2.3.2

= 6.6.6.2

= 216.2

= 432

R.: mmc = 432

______________

11.3 m.d.c. (125, 200)

125,200: 2

125,100: 2

125,50: 2

125,25: 5(*)

25,5: 5 (*)

5,1: 5

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

1,1

= 5.5

= 25

R.: mdc = 25

______________

11.4 m.m.c. (125, 200)

125,200: 2

125,100: 2

125,50: 2

125,25: 5(*)

25,5: 5 (*)

5,1: 5

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

1,1

= 2³.5³

= 8.125

= 1000

R.: mmc = 1000