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GCD of 796, 921, 456, 920 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, 921, 456, 920 quickly. Get the easiest ways to solve the greatest common divisor of 796, 921, 456, 920 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 796, 921, 456, 920 with Factoring?

Given Input numbers are 796, 921, 456, 920

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 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920


GCD of numbers is the greatest common divisor

So, the GCD (796, 921, 456, 920) = 1.

Find GCD of 796, 921, 456, 920 using Prime Factorization

Given numbers are 796, 921, 456, 920

The list of prime factors of all numbers are

Prime factors of 796 are 2 x 2 x 199

Prime factors of 921 are 3 x 307

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 796, 921, 456, 920 using LCM Formula

Given numbers are 796, 921, 456, 920

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

Apply this formula for all numbers.

Step1:

LCM(796, 921) = 733116

GCD(796, 921) = ( 796 x 921 ) / 733116

= 796 / 921

= 796


Step2:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1


Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1


So, Greatest Common Divisor of 796, 921, 456, 920 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 796, 921, 456, 920

Given numbers are 796, 921, 456, 920
The greatest common divisor of numbers 796, 921, 456, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 921, 456, 920 is 1.

FAQs on GCD of 796, 921, 456, 920 Calculator

1. What is the GCD of 796, 921, 456, 920?

GCD of given numbers 796, 921, 456, 920 is 1


2. How to calculate the greatest common divisor of 796, 921, 456, 920?

We can find the highest common divisor of 796, 921, 456, 920 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, 921, 456, 920 i.e 1.


3. How can I use the GCD of 796, 921, 456, 920Calculator?

Out the numbers 796, 921, 456, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.