find HCF and LCM of 306 and 54 verify that HCFxLCM= Product of the two numbers

Given, numbers are 306 and 54.

On prime factorizing, we get

54 = 2 × 3 × 3 × 3

306 = 2 × 3 × 3 × 17

So, HCF = 2 × 3 × 3 = 18

LCM = 2 × 3 × 3 × 3 × 17 = 918

Now, product of two numbers = 306 × 54 = 16524

and product of HCF and LCM = 918 × 18 = 16524

Hence verified.