HCF and LCM

 Find the greatest number that divides $690$ and $875$ leaving remainders $10$ and $25$ respectively is -

 Find the $\mathrm{H}.\mathrm{C}.\mathrm{F}.$ of$\frac{2}{3} ,\frac{4}{5}$  and $\frac{6}{7}$ 

Two numbers are in the ratio 4 : 5 and their LCM is 180, then find the smaller number?

The LCM of two numbers is$30$ and their HCF is $5.$ One of the number is $10.$ The other is -

Six bells commence tolling together at intervals of $2,4,6,8,10$and $12 \mathrm{seconds}$ respectively. In $30 \mathrm{minutes}$. How many times do they toll together?

The $\mathrm{HCF}$ of two numbers is $3$ and their $\mathrm{LCM}$ is $60.$ If one of the numbers is $15.$ Find the other?

The product of two numbers is $4107$. If the H.C.F. of these numbers is $37$, then the greater number is:?

Find the greatest number that will divide $427$ and $900$ leaving the remainder $3$ and $8$ respectively?

In a college all the students are made to stand in four rows. $4$ rows contains $12, 8, 22, 30$ students respectively. Find the least number of students in the college?

Riya, Anil and Rishi start running around a circular stadium and complete one round in $15s, 12s$ and $21s$ respectively. In how much time wil they meet again at the staring point?

Three buckets contains balloons filled with water, First bucket contains $243$ balloons. Second contains $304$ balloons and last bucket contains $127$ balloons. Find the largest number of balloons that can be given equally to the children such that $3, 4$ and $7$ balloons are left in first, second and third bucket respectively?

HCF and LCM of two members is $5$and $275$ respectively and the sum of these two numbers is $80$. Find the sum of the reciprocals of these numbers

Find the last number which when divided by $6, 8, 15$ and $30$ leaves remainder $2, 4, 11$ and $26$ respectively?

The HCF and LCM of two numbers is $84$and $840$ respectively. If the first number is $168$, find the second one

FInd the least number which when divided by $12, 27$ and $35$ leaves $6$ as a remainder?

Find the $4$ digit smallest number which when divided by $12, 15, 25, 30$ leaves no remainder?

Find the least number which when divided by $2, 3, 4$ and  $5$ leaves a remainder $3$. But when divided by $9$ leaves no remainder?

The HCF and LCM of two numbers is $70$ and $1050$ respectively. If the first number is $210$, find the second one.

HCF and LCM of two numbers is $5$ and $275$ respectively and the sum of these two numbers is $80$. Find the sum of the reciprocals of these numbers.

Find the least number which when divided by $2, 5, 9$ and $12$ leaves a remainder $3$ but leaves no remainder when same number is divided by $11$.