the lcm of two numbers is 504. find the hcf of this?

Answer :

Given LCM of two numbers  = 504

And we can represent 504 in prime factorisation  :

504 = 2 $\times$ 2 $\times$ 2 $\times$ 3 $\times$ 3 $\times$ 7

So,

Our two numbers can be 2 $\times$ 2 $\times$ 2  = 8  and 3 $\times$ 3 $\times$ 7 = 63 

And

HCF ( 8  and 63 ) =  1

And

Our two numbers can be 2 $\times$ 2 $\times$ 2  $\times$ 7 = 56  and 3 $\times$ 3  = 9

And

HCF ( 56  and 9 ) =  1

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