GCD of 797, 364, 312, 821 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 797, 364, 312, 821 i.e. 1 largest integer that divides all the numbers equally.

GCD of 797, 364, 312, 821 is 1

GCD(797, 364, 312, 821) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 797, 364, 312, 821 is 1

GCD(797, 364, 312, 821) = 1

GCD of 797,364,312,821 Calculator

GCDof 797,364,312,821 is 1

Given Input numbers are 797, 364, 312, 821

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 797, 364, 312, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 797, 364, 312, 821 is 1.

Therefore, GCD of numbers 797, 364, 312, 821 is 1

Finding GCD of 797, 364, 312, 821 using Prime Factorization

Given Input Data is 797, 364, 312, 821

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 797 is 797

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 821 is 821

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

Finding GCD of 797, 364, 312, 821 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(797, 364) = 290108

GCD(797, 364) = ( 797 x 364 ) / 290108

GCD(797, 364) = 290108 / 290108

GCD(797, 364) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 797, 364, 312, 821 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 797, 364, 312, 821

1. What is the GCD of 797, 364, 312, 821?

GCD of 797, 364, 312, 821 is 1


2. Where do I get the detailed procedure to find GCD of 797, 364, 312, 821?

You can find a detailed procedure to find GCD of 797, 364, 312, 821 on our page.


3. How to find GCD of 797, 364, 312, 821 on a calculator?

You can find the GCD of 797, 364, 312, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.