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Find the $HCF$ and $LCM$ of the following pairs of integers and verify that $HCF \times LCM = \text{product of the two numbers}: 26$ and $91$.

Using Euclid's division algorithm,determine whether the pair of numbers $231$ and $396$ are co-prime.

Find the smallest integer that is divisible by both $28$ and $63$.

Find the Least Common Multiple $(LCM)$ of $6$,$72$,and $120$.

Find the $\text{g.c.d.}$ and $\text{l.c.m.}$ of $72$ and $90$ using the fundamental theorem of arithmetic.

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