Find the HCF of 289 and 391.

Given:

The given numbers are 289 and 391.

To do :

We have to find the HCF of the given numbers.

Solution :

Highest Common Factor (HCF): The largest or greatest factor common to any two or more given natural numbers is termed as HCF of given numbers. Also known as

GCD (Greatest Common Divisor).

Factors of 289 and 391 are,

$289 = 17 \times 17 = 1 \times 289$

$391 = 17 \times 23 = 1 \times 391$

Factors of 289 are 1,17 and 289.

Factors of 391 are 1,17 and 391.

Therefore, HCF of 289 and 391 is 17.  

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Updated on: 10-Oct-2022

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