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GCD of 724, 836, 422, 908 Calculator

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


Online GCD Calculator is useful to find the GCD of 724, 836, 422, 908 quickly. Get the easiest ways to solve the greatest common divisor of 724, 836, 422, 908 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 724, 836, 422, 908 with Factoring?

Given Input numbers are 724, 836, 422, 908

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 422 :

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

1, 2, 211, 422

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908


GCD of numbers is the greatest common divisor

So, the GCD (724, 836, 422, 908) = 2.

Find GCD of 724, 836, 422, 908 using Prime Factorization

Given numbers are 724, 836, 422, 908

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 422 are 2 x 211

Prime factors of 908 are 2 x 2 x 227

The highest common occurrence is 21

Therefore, GCD of 724, 836, 422, 908 is 2.

Steps to Calculate GCD of 724, 836, 422, 908 using LCM Formula

Given numbers are 724, 836, 422, 908

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

Apply this formula for all numbers.

Step1:

LCM(724, 836) = 151316

GCD(724, 836) = ( 724 x 836 ) / 151316

= 724 / 836

= 724


Step2:

LCM(4, 422) = 844

GCD(4, 422) = ( 4 x 422 ) / 844

= 4 / 422

= 4


Step3:

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

= 2 / 908

= 2


So, Greatest Common Divisor of 724, 836, 422, 908 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 724, 836, 422, 908

Given numbers are 724, 836, 422, 908
The greatest common divisor of numbers 724, 836, 422, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 836, 422, 908 is 2.

FAQs on GCD of 724, 836, 422, 908 Calculator

1. What is the GCD of 724, 836, 422, 908?

GCD of given numbers 724, 836, 422, 908 is 2


2. How to calculate the greatest common divisor of 724, 836, 422, 908?

We can find the highest common divisor of 724, 836, 422, 908 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 724, 836, 422, 908 i.e 2.


3. How can I use the GCD of 724, 836, 422, 908Calculator?

Out the numbers 724, 836, 422, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.