question_answer

Find HCF and LCM of 404 and 96 and verify that \[HCF\times LCM=\] Product of the two given numbers.

Answer:

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.