Question

1 resolva

mdc 288,360

mdc 25,45,50

mdc 125,200,1000

mdc 11,18

mdc 60,80

mdc 8,10,20

mdc 45,60

Answer 1

Olá Heloísa!

288, 360 | 2 ←
144, 180 | 2 ←
72, 90 | 2 ←
36, 45 | 2
18, 45 | 2
9, 45 | 3 ←
3, 15 | 3 ←
1, 5 | 5
1, 1

MDC (288, 360) 2×2×2×3×3 = 72


25, 45, 50 | 2
25, 45, 25 | 3
25, 15, 25 | 3
25, 5, 25 | 5 ←
5, 1, 5 | 5
1, 1, 1

MDC (25, 45, 50) 5


125, 200, 1000 | 2
125, 100, 500 | 2
125, 50, 250 | 2
125, 25, 125 | 5 ←
25, 5, 25 | 5 ←
5, 1, 5 | 5
1, 1, 1

MDC (125, 200, 1000) 5×5 = 25


11, 18 | 2
11, 9 | 3
11, 3 | 3
11, 1 | 11
1, 1

Fatores de 18: 1,2,3,6,9,18
fatores de 11: 1 e 11.

Podemos notar que o MDC é 1 porque este é o maior número que divide os dois números.


60, 80 | 2 ←
30, 40 | 2 ←
15, 20 | 2
15, 10 | 2
15, 5 | 5 ←
3, 1 | 3
1, 1

MDC (60, 80) 2×2×5 = 20


8, 10, 20 | 2 ←
4, 5, 10 | 2
2, 5, 5 | 2
1, 5, 5 | 5
1, 1, 1

MDC (8, 10, 20) 2


45, 60 | 2
45, 30 | 2
45, 15 | 3 ←
15, 5 | 3
5, 5 | 5 ←
1, 1

MDC (45, 60) 3×5 = 15

Bons estudos...