Question

determine o mdc. a)2,4,6. b)10,15,30. c)8,16,36. d)20,40,100. e)21,7. f)16,24. g)3,9,27. h)13,39. i)45,90. j)12,24,48. k)10,20,100. l)15,45

Answer 1

Oi
O MDC leva-se em conta os fatores comuns de menores expoentes.
a) MDC de 2,4,6
2,4,6/2
1,2,3/2
1,1,3/3
1,1,1
MDC = 2

b) MDC de 10,15,30
10,15,30/2
5,15,15/3
5,5,5/5
1,1,1
MDC = 5

c) MDC de 8,16,36
8,16,36/2
4,8,18/2
2,4,9/2
1,2,9/2
1,1,9/3
1,1,3/3
1,1,1
MDC = 2² = 4

d) MDC de 20,40,100
20,40,100/2
10,20,50/2
5,10,25/2
5,5,25/5
1,1,5/5
1,1,
MDC = 2².5 = 20

e) MDC de 21,7
21,7/3
7,7/7
1,1
MDC = 7

f) MDC de 16,24
16,24/2
8,12/2
4,6/2
2,3/2
1,3/3
1,1
MDC =2³ = 8

g) MDC de 3,9,27
3,9,27/3
1,3,9/3
1,1,3/3
1,1,1
MDC = 3

h) MDC de 13,39
13,39/3
13,13/13
1,1
MDC = 13

i) MDC de 45,90
45,90/2
45,45/3
15,15/3
5,5/5
1,1
MDC = 3².5 = 45

j) MDC de 12,24,48
12,24,48/2
6,12,24/2
3,6,12/2
3,3,6/2
3,3,3/3
1,1,1
MDC = 2².3 = 12

k) MDC de 10,20,100
10,20,100/2
5,10,50/2
5,5,25/5
1,1,5/5
1,1,1
MDC = 2.5 =10

l) MDC de 15,45
15,45/3
5,15/3
5,5/5
1,1
MDC = 3.5 = 15

Bons estudos.