The product of two numbers is $4212$ and their $HCF$ is $9$. Find the possible pair of numbers.

The product of two numbers is $6760$ and their $H.C.F.$ is $13.$ How many such pairs can be formed?

$A$ heap of stones can be made up into groups of $21$. When made up into groups of $16, 20, 25$ and $45$,there are $3$ stones left in each case. How many stones at least can there be in the heap?

The $LCM$ of $2^{2} \times 3^{2} \times 5 \times 11$,$2^{4} \times 3^{4} \times 5^{2} \times 7$,and $2^{5} \times 3^{3} \times 5^{2} \times 7^{2} \times 11$ is:

The product of two numbers is $2028$ and their $HCF$ is $13$. The number of such pairs is

Three different containers contain different quantities of a mixture of milk and water,measuring $403 \ kg$,$434 \ kg$,and $465 \ kg$. What is the largest measure that can measure all these quantities exactly? (in $kg$)