Let Us Find a Relation between Two Numbers and Their H.C.F & L.C.M.

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.

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

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

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

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.

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

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

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

Find the least number, that must be subtracted from $5834$, so that the result is divisible by $20, 28, 32$ and $35$.

Find the L.C.M of $144$ and $384$. Using L.C.M, find H.C.F.

The perimeter of the front wheel of an engine is $1 \mathrm{m} 40 \mathrm{cm}$. and the perimeter of its hind wheel is two and half times more than the front wheel. The least distance covered by the wheels, when they will simultaneously take exact number of complete revolutions is $k \mathrm{m}$. Find the value of $k$.

There is a stock of $1071$ dhotis, $595$ sarees and $357$ dresses. Let us calculate, what will be the maximum number of families among which these can be distributed equally. How many of these things each, the families will receive.

Let's find H.C.F and L.C.M of $9 \mathrm{~kg} 786 \mathrm{~g}$ and $2 \mathrm{~kg} 796 \mathrm{~g}$

Let's find H.C.F and L.C.M of Rs. $4.20 \mathrm{p}$, Rs. $5.60 \mathrm{p}$ and Rs. $6.30 \mathrm{p}$

Let's work out to find the greatest number of five digits which when divided by $16,24,30$ and $36$ will leave a remainder $10$ in each case.

The length and breadth of our school hall is $2000 \mathrm{cm}$ and $1600 \mathrm{cm}$. The length of the longest tape which can measure both length and breadth in exact whole numbers is $k \mathrm{m}$. Find the value of $k$.

Let's workout to find the the least number of four digits which will be divisible by $12,15,20$ and $35 .$

Four bells ring at an interval of $45 \min ,1 \mathrm{hr}, 1 \mathrm{hr} 15 \min$ and $1 \mathrm{hr} 30 \mathrm{m}.$ Let's find bells ringing together at $12$, when will these ring together again. Also let's find, how many times the bells will separately ring during these hours.

There are three small tanks of capacity $35 \mathrm{litres},56 \mathrm{litres}$ and $84 \mathrm{litres}$. Let's find, what will be the biggest capacity of a container which will measure the oil in $3$ tanks in exact whole numbers.

Let's find the least number divisible by $7$ which when divided by $8,12$ and $16$ will leave a remainder $3$ in each case.