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Find the $\text{g.c.d.}$ (Greatest Common Divisor) of $196$ and $38220$ using Euclid's division algorithm.

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

Find the $g.c.d.$ (Greatest Common Divisor) of $12576$ and $4052$ using Euclid's division algorithm.

Write the denominator of the rational number $\frac{257}{5000}$ in the form $2^{m} \times 5^{n},$ where $m, n$ are non-negative integers. Hence,write its decimal expansion,without actual division.

The product of $HCF(a, b)$ and $LCM(a, b)$ is equal to:

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