Question

Using prime factorization, find the HCF and LCM of:
$24,36,40$

Answer 1

$24=2^3\times 3=2^3\times 3\times 5^0$

$36=2^2\times 3^2=2^2\times 3^2\times 5^0$

$40=2^3\times 5=2^3\times 3^0\times 5^1$

From the above

$HCF=2^2\times 3^0\times 5^0=4$

$LCM=2^3\times 3^2\times 5^1=360$