Question

calcule o MMC e o MDC nos casos abaixo:
a)6 e 8
b)9 e 4
c)36 e 24
d)12,15 e 18
e)45 e 60
f)4,25 e 21

Answer 1

Números que estão apontados com seta são os números do mdc

a)
6, 8|2<------
3, 4|2
3, 2|2
3, 1|3
1, 1

mmc = 2³x3 = 24
mdc = 2
________________________________
b)
9, 4|2
9, 2|2
9, 1|3
3, 1|3
1, 1<------------         

mmc = 2²x3² = 36
mdc = 1
__________________________________
c)
36, 24|2<--------
18, 12|2<--------
9, 6|2
9, 3|3<-----
3, 1|3
1, 1          

mmc = 2³x3² = 72
mdc = 2²x3 = 12
_______________________________________
d)
12, 15, 18|2
6, 15, 9|2
3, 15, 9|3<----------
1, 5, 3|3
1, 5, 1|5
1, 1, 1

mmc = 2²x3²x5 = 180
mdc = 3
__________________________________
e)
45, 60|2
45, 30|2
45, 15|3<--------
15, 5|3
5, 5|5<-----
1, 1

mmc = 2²x3²x5 = 180
mdc = 3x5 = 15
____________________________________
f)
4, 25, 21|2
2, 25, 21|2
1, 25, 21|3
1, 25, 7|5
1, 5, 7|5
1, 1, 7|7
1, 1, 1

mmc = 2²x3x5²x7 = 2100
mdc = 1



Forte abraço!