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

$A$ merchant has $435$ litres,$493$ litres,and $551$ litres of three different kinds of milk. Find the least number of casks of equal size required to store all the milk without mixing.

Find the greatest number of five digits which when divided by $8, 9$ and $10$ leaves $3$ as a remainder in each case.

Find the least number which when divided by $16, 18, 20$ and $25$ leaves $4$ as a remainder in each case,but when divided by $7$ leaves no remainder.

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

$L.C.M.$ 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