Find H.C.F of 1702 and 1998.

Given:

Given numbers are 1702 and 1998.

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).

Prime factorisation of 1702 and 1998 is,

$1702 = 2\times23\times37$

$1998 = 2\times3\times37$

Therefore,

HCF of 1702 and 1998 $=2\times37$

$=74$

The HCF of the given numbers is 74.

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Updated on: 10-Oct-2022

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