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GCD of 796, 864, 721, 924 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, 864, 721, 924 quickly. Get the easiest ways to solve the greatest common divisor of 796, 864, 721, 924 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 796, 864, 721, 924 with Factoring?

Given Input numbers are 796, 864, 721, 924

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 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924


GCD of numbers is the greatest common divisor

So, the GCD (796, 864, 721, 924) = 1.

Find GCD of 796, 864, 721, 924 using Prime Factorization

Given numbers are 796, 864, 721, 924

The list of prime factors of all numbers are

Prime factors of 796 are 2 x 2 x 199

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 721 are 7 x 103

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

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

Steps to Calculate GCD of 796, 864, 721, 924 using LCM Formula

Given numbers are 796, 864, 721, 924

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

Apply this formula for all numbers.

Step1:

LCM(796, 864) = 171936

GCD(796, 864) = ( 796 x 864 ) / 171936

= 796 / 864

= 796


Step2:

LCM(4, 721) = 2884

GCD(4, 721) = ( 4 x 721 ) / 2884

= 4 / 721

= 4


Step3:

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

= 1 / 924

= 1


So, Greatest Common Divisor of 796, 864, 721, 924 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 796, 864, 721, 924

Given numbers are 796, 864, 721, 924
The greatest common divisor of numbers 796, 864, 721, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 864, 721, 924 is 1.

FAQs on GCD of 796, 864, 721, 924 Calculator

1. What is the GCD of 796, 864, 721, 924?

GCD of given numbers 796, 864, 721, 924 is 1


2. How to calculate the greatest common divisor of 796, 864, 721, 924?

We can find the highest common divisor of 796, 864, 721, 924 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, 864, 721, 924 i.e 1.


3. How can I use the GCD of 796, 864, 721, 924Calculator?

Out the numbers 796, 864, 721, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.