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GCD of 796, 364, 472, 902 Calculator

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


Online GCD Calculator is useful to find the GCD of 796, 364, 472, 902 quickly. Get the easiest ways to solve the greatest common divisor of 796, 364, 472, 902 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 796, 364, 472, 902 with Factoring?

Given Input numbers are 796, 364, 472, 902

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

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902


GCD of numbers is the greatest common divisor

So, the GCD (796, 364, 472, 902) = 2.

Find GCD of 796, 364, 472, 902 using Prime Factorization

Given numbers are 796, 364, 472, 902

The list of prime factors of all numbers are

Prime factors of 796 are 2 x 2 x 199

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 902 are 2 x 11 x 41

The highest common occurrence is 21

Therefore, GCD of 796, 364, 472, 902 is 2.

Steps to Calculate GCD of 796, 364, 472, 902 using LCM Formula

Given numbers are 796, 364, 472, 902

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

Apply this formula for all numbers.

Step1:

LCM(796, 364) = 72436

GCD(796, 364) = ( 796 x 364 ) / 72436

= 796 / 364

= 796


Step2:

LCM(4, 472) = 472

GCD(4, 472) = ( 4 x 472 ) / 472

= 4 / 472

= 4


Step3:

LCM(4, 902) = 1804

GCD(4, 902) = ( 4 x 902 ) / 1804

= 4 / 902

= 4


So, Greatest Common Divisor of 796, 364, 472, 902 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 796, 364, 472, 902

Given numbers are 796, 364, 472, 902
The greatest common divisor of numbers 796, 364, 472, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 364, 472, 902 is 2.

FAQs on GCD of 796, 364, 472, 902 Calculator

1. What is the GCD of 796, 364, 472, 902?

GCD of given numbers 796, 364, 472, 902 is 2


2. How to calculate the greatest common divisor of 796, 364, 472, 902?

We can find the highest common divisor of 796, 364, 472, 902 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 796, 364, 472, 902 i.e 2.


3. How can I use the GCD of 796, 364, 472, 902Calculator?

Out the numbers 796, 364, 472, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.