determine o mmc e o mdc dos números:
a)MDC (8,20)
b)MDC (48,18)
c)MDC(60,36)
d)MDC(3,15,12)
e)MMC(25,80)
f)MMC(21,12)
g)MMC(10,6,15)
h)MMC(18,24,36)
Soluções para a tarefa
MDC
a)MDC (8,20)
8 - 20 | 2 •
4 - 10 | 2 •
2 - 5 | 2
1 - 5 | 5
1 - 1 |
resposta: 2² => 4
b)MDC (48,18)
48 - 18 | 2 •
24 - 9 | 2
12 - 9 | 2
6 - 9 | 2
3 - 9 | 3 •
1 - 3 | 3
1 - 1
Resposta: 2×3 => 6
c)MDC(60,36)
60 - 36 | 2 •
30 - 18 | 2 •
15 - 9 | 3 •
5 - 3 | 3
5 - 1 | 5
1 - 1 |
Resposta: 2²×3=> 12
d)MDC(3,15,12)
3 - 15 - 12 | 2
3 - 15 - 6 | 2
3 - 15 - 3 | 3 •
1 - 5 - 1 | 5
1 - 1 - 1 |
Resposta: 3
MMC
e)MMC(25,80)
25 - 80 | 2
25 - 40 | 2
25 - 20 | 2
25 - 10 | 2
25 - 5 | 5
5 - 1 | 5
1 - 1 |
Resposta: 2⁴.5² => 400
f)MMC(21,12)
21 - 12 | 2
21 - 6 | 2
21 - 3 | 3
7 - 1 | 7
1 - 1 |
Resposta: 2².3.7=> 84
g)MMC(10,6,15)
10 - 6 - 15 | 2
5 - 3 - 15 | 3
5 - 1 - 5 | 5
1 - 1 - 1 |
Resposta: 2.3.5=> 30
h)MMC(18,24,36)
18 - 24 - 36 | 2
9 - 12 - 18 | 2
9 - 6 - 9 | 2
9 - 3 - 9 | 3
3 - 1 - 3 | 3
1 - 1 - 1 |
Resposta: 2³.3²=> 72
:)
Resposta:
Explicação passo-a-passo:
a) mdc de 8 e 20
8, 20 : 2
4, 10 : 2
2, 5
mdc = 2.2 = 4
b) mdc de 48 e 18
48, 18 : 2
24, 9 : 3
8, 3 :
mdc = 2.3 = 6
c) mdc de 60 e 36
60, 36 : 2
30, 18 : 2
15, 9 : 3
5, 3
mdc = 2.2.3 = 12
d) mdc de 3, 15 e 12
3, 15, 12 : 3
1, 5, 6
mdc = 3
e) mmc de 25 e 80
25, 80 : 2
25, 40 : 2
25, 20 : 2
25, 10 : 2
25, 5 : 5
5, 1 : 5
1, 1
mmc = 2.2.2.2.5.5 = 16.25 = 400
f) mmc de 21 e 12
21, 12 : 2
21, 6 : 2
21, 3 : 3
7, 1 : 7
1, 1
mmc = 2.2.3.7
mmc = 84
g) mmc de 10, 6 e 15
10, 6, 15 : 2
5, 3, 15 : 3
5, 1, 5 : 5
1, 1, 1
mmc = 2.3.5
mmc = 30
h) mmc de 18, 24 e 36
18, 24, 36 : 2
9, 12, 18 : 2
9, 6, 9 : 2
9, 3, 9 : 3
3, 1, 3 : 3
1, 1, 1
mmc = 2.2.2.3.3
mmc = 72