Question

Find the $HCF$ and $LCM$ of the number given below. Verify that their product is equal to the product of the given numbers.
$32,37$ ?

Answer 1

If a and b are two positive integers their $HCF=h$, and $LCM=l$ then,

$a\times b=h\times l$

HCF$(32,37)$=product of common prime factors=$1$

LCM=maximum powers of prime factors=$32\ast 37\ast 1$=$1184$

Verification:

$HCF\ast LCM=1\ast 1184=32\ast 37=1184$