GCD of 809, 500, 764 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 809, 500, 764 i.e. 1 largest integer that divides all the numbers equally.

GCD of 809, 500, 764 is 1

GCD(809, 500, 764) = 1

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

GCD of

GCD of numbers 809, 500, 764 is 1

GCD(809, 500, 764) = 1

GCD of 809,500,764 Calculator

GCDof 809,500,764 is 1

Given Input numbers are 809, 500, 764

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 809, 500, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 500, 764 is 1.

Therefore, GCD of numbers 809, 500, 764 is 1

Finding GCD of 809, 500, 764 using Prime Factorization

Given Input Data is 809, 500, 764

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

Prime Factorization of 809 is 809

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 764 is 2 x 2 x 191

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

Finding GCD of 809, 500, 764 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(809, 500) = 404500

GCD(809, 500) = ( 809 x 500 ) / 404500

GCD(809, 500) = 404500 / 404500

GCD(809, 500) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

GCD of 809, 500, 764 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 809, 500, 764

1. What is the GCD of 809, 500, 764?

GCD of 809, 500, 764 is 1


2. Where do I get the detailed procedure to find GCD of 809, 500, 764?

You can find a detailed procedure to find GCD of 809, 500, 764 on our page.


3. How to find GCD of 809, 500, 764 on a calculator?

You can find the GCD of 809, 500, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.