GCD of 321, 829, 789 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 321, 829, 789 i.e. 1 largest integer that divides all the numbers equally.

GCD of 321, 829, 789 is 1

GCD(321, 829, 789) = 1

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

GCD of

GCD of numbers 321, 829, 789 is 1

GCD(321, 829, 789) = 1

GCD of 321,829,789 Calculator

GCDof 321,829,789 is 1

Given Input numbers are 321, 829, 789

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 321, 829, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 829, 789 is 1.

Therefore, GCD of numbers 321, 829, 789 is 1

Finding GCD of 321, 829, 789 using Prime Factorization

Given Input Data is 321, 829, 789

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 829 is 829

Prime Factorization of 789 is 3 x 263

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

Finding GCD of 321, 829, 789 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(321, 829) = 266109

GCD(321, 829) = ( 321 x 829 ) / 266109

GCD(321, 829) = 266109 / 266109

GCD(321, 829) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

GCD of 321, 829, 789 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 321, 829, 789

1. What is the GCD of 321, 829, 789?

GCD of 321, 829, 789 is 1


2. Where do I get the detailed procedure to find GCD of 321, 829, 789?

You can find a detailed procedure to find GCD of 321, 829, 789 on our page.


3. How to find GCD of 321, 829, 789 on a calculator?

You can find the GCD of 321, 829, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.