The $H.C.F.$ and $L.C.M.$ of two numbers are $8$ and $48,$ respectively. If one of the numbers is $24,$ then the other number is

The $H.C.F.$ and $L.C.M.$ of two numbers are $44$ and $264,$ respectively. If the first number is divided by $2,$ the quotient is $44.$ The other number is

Find the greatest number which will divide $2112$ and $2792$ leaving the remainder $4$ in each case.

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:

Two pipes of length $1.5\, m$ and $1.2\, m$ are to be cut into equal pieces without leaving any extra length of pipes. The greatest length of the pipe pieces of same size which can be cut from these two lengths will be (in $metre$)

$L.C.M.$ and $H.C.F.$ of two numbers $x$ and $y$ are $315$ and $3,$ respectively. If $x+y=36,$ the value of $\frac{1}{x}+\frac{1}{y}$ is