Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Playing With Whole Numbers, Exercise 10: ASSIGNMENT 3.7

The HCF of two numbers is $23$ and their LCM is $1449$. If one of the numbers is $207$, the other one is

Can two numbers have $4$ as their HCF and $48$ as their LCM ?

Can two numbers have $7$ as their HCF and $22$ as their LCM ?

The LCM of two numbers is $128$ and their product is $8192$. Find their HCF.

If the product of the LCM and HCF is $28125$ and one of the numbers is $125$, find the other number.

Verify that HCF of $10, 15$ and $20$ is a factor of LCM of the same numbers.

Verify that LCM of $12, 20$ and $30$ is a multiple of their HCF.

Show that the HCF of $12$ and $15$ is not greater than either $12$ or $15$. Also show that the LCM of $12$ and $15$ is not less than either $12$ or $15$.