West Bengal Board Solutions for Chapter: Hcf and Lcm of Three Numbers, Exercise 6: Let's work out - 12

Find the greatest number which divides $2300$ and $3500$ to leave remainders $32$ and $56$ respectively.

Find the greatest number that divides $650, 775$ and $1250$ to keep equal remainder in all cases.

The sum of two numbers is $384$ and their H.C.F is $48$, what may be the $2$ possible numbers let's find.

The H.C.F and L.C.M of two numbers are $12$ and $720$. Let's try to find, how many pairs are possible and what may be those numbers.

Find the least number from which, if $4000$ is subtracted,the result will be divisible by $7, 11$ and $13$.

Find two pairs of number between $50$ and $100$, whose H.C.F is $16$.

Find a number which is divisible by $28, 33, 42$ and $77$ and nearest to $98765$.

Find the least number divisible by $13$ such that when that number is divided by $8, 12, 16$ and $20$, it leaves $1$ as remainder all the cases.