Question

What is the HCF of 1280 and 630

Answer 1

Given:

The two numbers are 1280 and 630.

To find:

The HCF of the given numbers.

Solution:

First write the given numbers in prime factorization form.

`1280=2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 5`

`630=2\cdot 3\cdot 3\cdot 5\cdot 7`

Now the product of all the common prime factors is known as the HCF of 1280 and 630.

`HCF=2\cdot 5`

`HCF=10`

Therefore, the HCF of 1280 and 630 is 10.