Question

5.2 Find the HCF and LCM of the numbers below:
a) 27 and 72
b) 60 and 80
.​

Answer 1

Resposta:

a)

HCF = 9

LCM = 216

b)

HCF = 20

LCM = 240

Explicação:

a)

27, 72 | 2

27, 36 | 2

27, 18  | 2

27, 9   | 3

 9, 3   | 3

 3, 1    | 3

  1, 1

mmc = lcm = lowest common multiple = 2 x 2 x 2 x 3 x 3 x 3 = 216

mdc = hcf = highest common factor = 3 x 3 = 9

b)

60, 80 | 2

30, 40 | 2

15, 20  | 2

15, 10   | 2

15, 5    | 3

5,  5    | 5

1,   1

mmc = lcm = lowest common multiple = 2 x 2 x 2 x 2 x 3 x 5 = 240

mdc = hcf = highest common factor = 2 x 2 x 5 = 20