1. Determine:
a) mmc (175,24) e mdc (175,24)
b) mmc ( 36, 24) e mdc ( 36,24)
c) mmc (150,21) e mdc (150, 21)
d) mmc (32,21) e mdc ( 32, 21)
Soluções para a tarefa
Bom dia !
M.M.C :
175 , 24 | 2
175 , 12 | 2
175 , 6 | 2
175 , 3 | 3
175 , 1 | 5
35 , 1 | 5
7 , 1 | 7
1 , 1 | 2 × 2 × 2 × 3 × 5 × 5 × 7 = 4200
M.D.C :
175 , 24 | 2
175 , 12 | 2
175 , 6 | 2
175 , 3 | 3
175 , 1 | 5
35 , 1 | 5
7 , 1 | 7
1 , 1 | 1
=========================
M.M.C :
36 , 24 | 2
18 , 12 | 2
9 , 6 | 3
3 , 2 | 2
3 , 1 | 3
1 , 1 | 2 × 2 × 3 × 2 × 3 = 72
M.D.C :
36 , 24 | 2
18 , 12 | 2
9 , 6 | 3
3 , 2 | 2
3 , 1 | 3
1 , 1 | 2 × 2 × 3 = 12
=========================
M.M.C :
150 , 21 | 2
75 , 21 | 5
15 , 21 | 5
3 , 21 | 3
1 , 7 | 7
1 , 1 | 2 × 5 × 5 × 3 × 7 = 1050
M.D.C :
150 , 21 | 2
75 , 21 | 5
15 , 21 | 5
3 , 21 | 3
1 , 7 | 7
1 , 1 | 3
=========================
M.M.C :
32 , 21 | 3
12 , 7 | 2
6 , 7 | 2
3 , 7 | 3
1 , 7 | 7
1 , 1 | 3 × 2 × 2 × 3 × 7 = 252
M.D.C :
32 , 21 | 2
16 , 21 | 2
8 , 7 | 2
4 , 7 | 2
2 , 7 | 2
1 , 7 | 7
1 , 1 | 1
Um grande abraço !
Resposta:
M.M.C :
175 , 24 | 2
175 , 12 | 2
175 , 6 | 2
175 , 3 | 3
175 , 1 | 5
35 , 1 | 5
7 , 1 | 7
1 , 1 | 2 × 2 × 2 × 3 × 5 × 5 × 7 = 4200
M.D.C :
175 , 24 | 2
175 , 12 | 2
175 , 6 | 2
175 , 3 | 3
175 , 1 | 5
35 , 1 | 5
7 , 1 | 7
1 , 1 | 1
=========================
M.M.C :
36 , 24 | 2
18 , 12 | 2
9 , 6 | 3
3 , 2 | 2
3 , 1 | 3
1 , 1 | 2 × 2 × 3 × 2 × 3 = 72
M.D.C :
36 , 24 | 2
18 , 12 | 2
9 , 6 | 3
3 , 2 | 2
3 , 1 | 3
1 , 1 | 2 × 2 × 3 = 12
=========================
M.M.C :
150 , 21 | 2
75 , 21 | 5
15 , 21 | 5
3 , 21 | 3
1 , 7 | 7
1 , 1 | 2 × 5 × 5 × 3 × 7 = 1050
M.D.C :
150 , 21 | 2
75 , 21 | 5
15 , 21 | 5
3 , 21 | 3
1 , 7 | 7
1 , 1 | 3
=========================
M.M.C :
32 , 21 | 3
12 , 7 | 2
6 , 7 | 2
3 , 7 | 3
1 , 7 | 7
1 , 1 | 3 × 2 × 2 × 3 × 7 = 252
M.D.C :
32 , 21 | 2
16 , 21 | 2
8 , 7 | 2
4 , 7 | 2
2 , 7 | 2
1 , 7 | 7
1 , 1 | 1
Um grande abraço !