Question

1 DETERMINE O MDC A) MDC 13,16,20 B MDC 18,24,30 C MDC 24,40,48 D 60,40,80 E MDC 45,30,90 F MDC 18,45,36

Answer 1

Explicação passo a passo:

REGRA mdc > toma-se os fatores comuns com menor expoente

mdc

a

13,16,20

fatorando

13 = 13¹

16 = 2^4

20 = 2² * 5¹

O único fator comum é 1

mdc = 1 >>>>resposta

b

18,24,30

18 = 2* 3²

24 = 2³ * 3¹

30 = 2¹* 3¹ * 5¹

mdc=2 * 3 = 6 >>>>>resposta

c

24,40,48

24 = 2³ * 3¹

40 =2³ * 5¹

48 = 2^4 * 3¹

mdc = 2³ = 8 >>>>>> resposta

d

60,40,80

60 = 2² * 3¹ * 5¹

40 =2³ * 5¹

80 =2^4 * 5¹

mdc = 2² * 5¹ = 20 >>>>

e

45,30,90

45 = 3² * 5¹

30 = 2¹ * 3¹ * 5¹

90 = 2¹ * 3² * 5¹

mdc= 3¹ * 5¹ = 15 >>>>>

f

18,45,36

18 = 2¹ *3²

45 = 3²* 5

36 =2²* 3²

mdc = 3²= 9 >>>>>