The $H.C.F.$ of two numbers is $11$ and their $L.C.M.$ is $693$. If one of the numbers is $77$,find the other.

$A$ number, when divided successively by $4, 5$ and $6$, leaves remainders $2, 3$ and $4$ respectively. The least such number is

The sum of two numbers is $216$ and their $H.C.F.$ is $27$. The numbers are

The $HCF$ and $LCM$ of two numbers are $21$ and $84$ respectively. If the ratio of the two numbers is $1:4$,then the larger of the two numbers is

Find the greatest number which will divide $25, 73$ and $97$ so as to leave the same remainder in each case.

In a school,$442$ boys and $374$ girls have been divided into the largest possible equal classes,so that each class of boys numbers the same as each class of girls. What is the number of classes?