• # question_answer Find HCF and LCM of 404 and 96 and verify that $HCF\times LCM=$ Product of the two given numbers.

 2 404 2 202 101 101 1

 2 96 2 48 2 24 2 112 2 6 3 3 1
Prime factorization of $404=2\times 2\times 101$
Prime factorization of $96=2\times 2\times 2\times 2\times 2\times 3$
$\therefore$      HCF $=2\times 2=4$
And      LCM $=2\times 2\times 2\times 2\times 2\times 3\times 101$
$=9696$
$\therefore$      HCF = 4, LCM $=9696$
Verification
HCF $\times$ LCM = Product of two numbers
$4\times 9696=404\times 96$
$38784=38784$                    Hence Verified.

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