Find the greatest number which exactly divides $200$ and $320$.

$M$ is the largest $4$-digit number which,when divided by $4, 5, 6,$ and $7,$ leaves remainders $2, 3, 4,$ and $5$ respectively. What is the remainder when $M$ is divided by $9$?

Three numbers are in the ratio $1:2:3$ and their $HCF$ is $12$. The numbers are

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 $kg$)

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.

The product of two numbers is $4107$. If the $HCF$ of these numbers is $37$,then the greater number is