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)
---------
= 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
-------------
= 5.5
= 25
R.: mdc = 25
11.4 m.m.c. (125, 200)
= 2³.5³
= 8.125
= 1000
R.: mmc = 1000
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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