Question

1. If LCM of two coprime
numbers is 217 then find their HCF​

Answer 1

Given,

LCM of two co-prime numbers = 217

To find,

The HCF of those co-prime numbers.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

For this particular mathematical problem, we don't need to do any mathematical calculations, we just need to know the definition of co-prime numbers.

According to the definition of co-prime numbers, these numbers have only number 1 as their common factor.

Only common factor of co-prime numbers = 1

So, highest common factor of co-prime numbers = 1

(This theory is applicable for any set of co-prime numbers.)

For example,

3 and 5 are co-prime numbers because they have only 1 as their common factor and their HCF is also 1.

Hence, HCF of those co-prime numbers will be 1.