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GCD of 968, 422, 664, 874 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 968, 422, 664, 874 quickly. Get the easiest ways to solve the greatest common divisor of 968, 422, 664, 874 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 968, 422, 664, 874 with Factoring?

Given Input numbers are 968, 422, 664, 874

In the factoring method, we have to find the divisors of all numbers

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874


GCD of numbers is the greatest common divisor

So, the GCD (968, 422, 664, 874) = 2.

Find GCD of 968, 422, 664, 874 using Prime Factorization

Given numbers are 968, 422, 664, 874

The list of prime factors of all numbers are

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 422 are 2 x 211

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 874 are 2 x 19 x 23

The highest common occurrence is 21

Therefore, GCD of 968, 422, 664, 874 is 2.

Steps to Calculate GCD of 968, 422, 664, 874 using LCM Formula

Given numbers are 968, 422, 664, 874

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(968, 422) = 204248

GCD(968, 422) = ( 968 x 422 ) / 204248

= 968 / 422

= 968


Step2:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2


Step3:

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

= 2 / 874

= 2


So, Greatest Common Divisor of 968, 422, 664, 874 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 968, 422, 664, 874

Given numbers are 968, 422, 664, 874
The greatest common divisor of numbers 968, 422, 664, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 422, 664, 874 is 2.

FAQs on GCD of 968, 422, 664, 874 Calculator

1. What is the GCD of 968, 422, 664, 874?

GCD of given numbers 968, 422, 664, 874 is 2


2. How to calculate the greatest common divisor of 968, 422, 664, 874?

We can find the highest common divisor of 968, 422, 664, 874 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 968, 422, 664, 874 i.e 2.


3. How can I use the GCD of 968, 422, 664, 874Calculator?

Out the numbers 968, 422, 664, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.