Question

encontre o m.m.c e o m.d.c de a)42 e 120,b)30e 8,c)45 e 135,d)48 e 72,e) 12 e 48 f) 16 e 42

Answer 1

Oi!

A) MMC: 840
42, 120 | 2
21, 60 | 2
21, 30 | 2
21, 15 | 3
7, 5 | 5
7, 1 | 7
1, 1 | 1

MMC = 2 . 2 . 2 . 3 . 5 . 7 = 840

MDC: 6
Os fatores de 42 são 1, 2, 3, (6), 7, 14, 21, 42;
Os fatores de 120 são 1, 2, 3, 4, 5, (6), 8 ,10, 12, 15, 20, 24, 30, 40, 60, 120.

B) MMC: 120

30, 8 | 2
15, 4 | 2
15, 2 | 2
15, 1 | 3
5, 1 | 5
1, 1 | 1

MMC = 2 . 2 . 2 . 3 . 5 = 12

MDC: 2

Os fatores de 30 são 1, (2), 3, 5, 6, 10, 15, 30;
Os fatores de 8 são 1, (2), 4, 8.

C) MMC: 135

45, 135 | 3
15, 45 | 3
5, 15 | 3
5, 5 | 5
1, 1 | 1

MMC = 3 . 3 . 3 . 5 = 135

MDC: 45

Os fatores de 45 são 1, 3, 5, 9, 15, (45);
Os fatores de 135 são 1, 3, 5, 9, 15, 27, (45), 135.

D) MMC: 144

48, 72 | 2
24, 36 | 2
12, 18 | 2
6, 9 | 2
3, 9 | 3
1, 3 | 3
1, 1 | 1

MMC = 2 . 2 . 2 . 2 . 3 . 3 = 144

MDC: 24

Os fatores de 48 são 1, 2, 3, 4, 6, 8, 12, 16, (24), 48;
Os fatores de 72 são 1, 2, 3, 4, 6, 8, 9, 12, 18, (24), 36, 72.

E) MMC: 48

12, 48 | 2
6, 24 | 2
3, 12 | 2
3, 6 | 2
3, 3 | 3
1, 1 | 1

MMC = 2 . 2 . 2 . 2 . 3 = 48

MDC: 12

Os fatores de 12 são 1, 2, 3, 4, 6, (12);
Os fatores de 48 são 1, 2, 3, 4, 6, 8, 12, 16, (24), 48.

F) MMC: 336


16, 42 | 2
8, 21 | 2
4, 21 | 2
2, 21 | 2
1, 21 | 3
1, 7 | 7
1, 1 | 1

MMC = 2 . 2 . 2 . 2 . 3 . 7 = 336

MDC: 2
Os fatores de 16 são 1, (2), 4, 8, 16;
Os fatores de 42 são 1, (2), 3, 6, 7, 14, 21, 42;

Espero ter ajudado!