GCD of 506, 721, 963 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 506, 721, 963 i.e. 1 largest integer that divides all the numbers equally.

GCD of 506, 721, 963 is 1

GCD(506, 721, 963) = 1

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

GCD of

GCD of numbers 506, 721, 963 is 1

GCD(506, 721, 963) = 1

GCD of 506,721,963 Calculator

GCDof 506,721,963 is 1

Given Input numbers are 506, 721, 963

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 506, 721, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 721, 963 is 1.

Therefore, GCD of numbers 506, 721, 963 is 1

Finding GCD of 506, 721, 963 using Prime Factorization

Given Input Data is 506, 721, 963

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 721 is 7 x 103

Prime Factorization of 963 is 3 x 3 x 107

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

Finding GCD of 506, 721, 963 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(506, 721) = 364826

GCD(506, 721) = ( 506 x 721 ) / 364826

GCD(506, 721) = 364826 / 364826

GCD(506, 721) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 506, 721, 963 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 506, 721, 963

1. What is the GCD of 506, 721, 963?

GCD of 506, 721, 963 is 1


2. Where do I get the detailed procedure to find GCD of 506, 721, 963?

You can find a detailed procedure to find GCD of 506, 721, 963 on our page.


3. How to find GCD of 506, 721, 963 on a calculator?

You can find the GCD of 506, 721, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.