determine o MDC e o MMC a)40,30,50 b)22,121,41 c)49,35,196 d)42,52,62 e)75,55,45 f)180,248 g)510,450 h)380,540,680
Respostas
Oi
O mmc são fatores comuns e não comuns de maiores expoentes.
O mdc são fatores comuns de menores expoentes.
MMC e MDC de:
a)
40,30,50/2
20,15,25/2
10,15,25/2
5,15,25/3
5,5,25/5
1,1,5/5
1,1,1
MMC = 2.2.2.3.5.5. = 600 e MDC = 2 .5 = 10
b)
22,121,41/2
11,121,41/11
1,11,41/11
1,1,41/41
1,1,1
MMC = 2.11.11.41 = 9922 e MDC = 1
c)
49,35,196/2
49,35,98/2
49,35,49/5
49,7,49/7
7,1,7/7
1,1,1
MMC = 2.2.5.7.7 = 980 e MDC = 7
d)
42,52,62/2
21,26,31/2
21,13,31/3
7,13,31/7
1,13,31/13
1,1,31/31
1,1,1
MMC = 2.2.3.7.13.31 =33852 e MDC 2
e)
75,55,45/3
25,55,15/3
25,55,5/5
5,11,1/5
1,11,1/11
1,1,1
MMC = 3.3.5.5.11= 2475 e MDC = 5
f)
180,248/2
90,124/2
45,62/2
45,31/3
15,31/3
5,31/5
1,31/31
1,1
MMC = 2.2.2.3.3.5.31 = 11160 e MDC = 2.2. = 4
g)
510,450/2
255,225/3
85,75/3
85,25/5
17,5/5
17,1/17
1,1
MMC = 2.3.3.5.5.17 = 7650 e MDC = 2.3.5 = 30
h)
380,540,680/2
190,270,340/2
95,135,170/2
95,135,85/3
95,45,85/3
95,15,85/3
95,5,85/5
19,1,17/17
19,1,1/19
1,1,1
MMC = 2.2.23.3.35.17.19 = 348840 e MDC = 2.2.5 = 20
Espero ter ajudado.