Arihant Expert Team Solutions for Chapter: LCM and HCF, Exercise 1: Practice Exercise

Three numbers are in the ratio $3 : 4 : 5$ and their LCM is $2400$. Their HCF is ____.

Find the least number which when divided by $12, 16, 18$ and $30$ leaves remainder $4$in each case but it is completely divisible by $7$.

How many numbers less than $10000$ are there, which are divisible by $21$, $35$ and $63$?

The HCF of two numbers is $8$. Which one of the following can never be their LCM?

What is the least number, which when divided by $12$ leaves a remainder of $7$, when divided by $15$leaves a remainder of $10$and when divided by $16$leaves a remainder of $11$?

What is the least number, which when divided by $8, 9, 12$ and $15$ leaves a remainder $1$ in each case?

What is the greatest number of $3$ digits, which when divided by $6, 9$ and $12$ leaves a remainder of $3$ in each case?

Three different containers contain different qualities of a mixture of milk and water whose measurements are $403 \mathrm{kg}$, $434 \mathrm{kg}$ and $465 \mathrm{kg}$. What biggest measure must be there to measure all the different quantities exactly?