Question

DETERMINE:

a) m.d.c.(72,88)

b) m.d.c.(14,26,32)

c) m.m.c.(72,88)

d) m.m.c.(12,8,3,15)

Answer 1

MDC 72 e 88.
88 / 72 = resto 16
72 / 16 = resto 8
16 / 8 = resto 0
Então MDC(72, 88) = 8

MDC 14, 26 e 32
26 / 14 = resto 12
14 / 12 = resto 2
12 / 2 = resto 0
MDC(14, 26) = 2
32 / 2 = resto 0
MDC(14, 26, 32) = 2

MMC(72, 88)
72, 88 | 2
36, 44 | 2
18, 22 | 2
  9, 11 | 3
  3, 11 | 3
  1, 11 | 11
  1,   1 | =2^3\cdot{3}\cdot{11}=8\cdot{3}\cdot{11}=26423⋅3⋅11=8⋅3⋅11=264 

MMC(12, 8, 3, 15)
12, 8, 3, 15 | 2
  6, 4, 3, 15 | 2
  3, 2, 3, 15 | 2
  3, 1, 3, 15 | 3
  1, 1, 1,   5 | 5
  1, 1, 1,   1 | 1/ MMC = 2^3\cdot{3}\cdot{5}=8\cdot{15}=12023⋅3⋅5=8⋅15=120


Espero ter ajudado!