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3)Com fatores primos encontre o MDC dos números abaixo:
a)24,32 b)96,60 c)44,20 d)30,60,90 e)20,24,36
4)Encontre o MMC dos números abaixo:
a)9,12 b)10,20 c) 4,6,9 d)10,24,36 e)16,25,30
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Resposta:
Q3)a)mdc(24,32)=8
24,32/2
12,16/2
6,8/2
3,4/2
3,2/2
3,1/3
1,1
b)mdc (96,60)=4
96,60/2
48,30/2
24,15/2
12,15/2
6,15/2
3,15/3
1,5/5
1,1
c)mdc(44,20)=4
44,20/2
22,10/2
11, 5/5
11,1/11
1,1
d)mdc(30,60,90)=2×3×5=30
30,60,90/2
15,30,45/2
15,15,45/3
5,5,15/3
5,5,5/5
1,1,1
e)mdc (20,24,36)=2×2×3=12
20,24,36/2
10,12,18/2
5,6,9/2
5,3,9/3
5,1,3/3
51,1/5
1,1,1
Q4)a)mmc(9,12)=36
9,12/2
9,6/2
9,3/3
3,1/3
1,1
b)mmc(10,20)=20
10,20/2
5,10/2
5,5/5
1,1
c)mmc(4,6,9)=36
4,6,9/2
2,3,9/2
1,3,9/3
1,1,3/3
1,1,1
d)mmc(10,24,36)=360
10,24,36/2
5,12,18/2
5,6,9/2
5,3,9/3
5,1,3/3
5,1,1/5
1,1,1
e)mmc (16,25,30)=240
16,25,30/2
8,25,15/2
4,25,15/2
2,25,15/2
1,25,15/3
1,25,5/5
1,5,1/5
1,1,1
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