Question

# Using prime factorization, find the HCF and LCM of $${ \text { } 36,84 } .$$ Also verify that: HCF $$\times \mathrm { LCM } =$$ product of given numbers.

Solution

## Prime factor of given no.s$$36=2\times 2\times 3\times 3\\$$$$84=2\times 2\times 3\times 7\\$$$$LCM=2\times 2\times 3\times 3\times 7=252\\$$$$HCF=2\times 2\times 3=12\\$$$$LCM\times HCF=1524\\$$$$Product =36\times 48=1524$$Hence proved.$$HCF ×LCM=$$ product of given numbers.Maths

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