What is the HCF of 1280 and 630

Question

asked Apr 4, 2022 163k views

1 Answer

Erebus · Answer 1 · 2022-04-09T16:42:56+0000

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.