Disha Expert Team Solutions for Chapter: HCF & LCM, Exercise 1: Exercise

A hall is $13$ metres $53 \mathrm{cm}$ long and $8$ metres $61 \mathrm{cm}$ broad is to be paved with minimum number of square tiles. The number of tiles required is _____.

There are $4$ numbers. The HCF of each pair is $3$ and the LCM of all the $4$ numbers is $116$. What is the product of $4$ numbers?

What will be the least number which when doubled will be exactly divisible by $12, 18, 21$ and $30$ ?

Four bells ring at an interval of $30 \min$, $1$ hour, $1$ hour $30 \min$ and $1$ hour $45 \min$. All bells started ringing together at $12$ noon. At what time will they ring together again?

The largest number which will divide the numbers $104, 221$ and $377$ leaving the same remainder in each case is _____.

The sum of two numbers is $462$ and their highest common factor is $22$. What is the maximum number of pairs that satisfy these conditions?

How many pairs of factors of number $7200$ have HCF $20$?

Find the number by which when $1050, 1250$ and $1650$ are divided respectively leaves $43, 31$ and $7$ as remainders.