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

The Least Common Multiple $(LCM)$ of the smallest prime number and the smallest composite number is . . . . . . .

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

Find the $HCF$ and $LCM$ of the following pair of integers $510$ and $92$ and verify that $HCF \times LCM = \text{product of the two numbers}$.

$A$ sweetseller has $420$ kaju barfis and $130$ badam barfis. She wants to stack them in such a way that each stack has the same number,and they take up the least area of the tray. What is the number of barfis that can be placed in each stack for this purpose?

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