Find the HCF and LCM of 306 and 54. Also, verify that HCF x LCM = Product of given two numbers.
Sol. It is given that, a = 306 and b = 54
=> 306=2*3^2×17 and 54=2*3^3
LCM=2×3^3*17=918
HCF=2*3^3=18
Verification:
HCF * LCM = Product of ‘a’ and ‘b’
=> 18*918=306*54
=> 16524=16524