Question

Find the HCF and LCM of 24, 36 and 40 using prime factorisation method.

Answer 1

Answer:

HCF

$24 = 2 \times 2 \times 2 \times 3 = {2}^{3} \times 3$

$36 = 2 \times 2 \times 3 \times 3 = {2}^{2} \times {3}^{2}$

$40 = 2 \times 2 \times 2 \times 5 = {2}^{3} \times 5$

LCM

$24.36and40 \: = 2 \times 2 \times 2 \times 3 \times 3 \times 5 = {2}^{3} \times {3}^{2} \times 5$