GCD of 968, 538, 723 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 968, 538, 723 i.e. 1 largest integer that divides all the numbers equally.

GCD of 968, 538, 723 is 1

GCD(968, 538, 723) = 1

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

GCD of

GCD of numbers 968, 538, 723 is 1

GCD(968, 538, 723) = 1

GCD of 968,538,723 Calculator

GCDof 968,538,723 is 1

Given Input numbers are 968, 538, 723

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 968, 538, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 538, 723 is 1.

Therefore, GCD of numbers 968, 538, 723 is 1

Finding GCD of 968, 538, 723 using Prime Factorization

Given Input Data is 968, 538, 723

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 538 is 2 x 269

Prime Factorization of 723 is 3 x 241

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

Finding GCD of 968, 538, 723 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(968, 538) = 260392

GCD(968, 538) = ( 968 x 538 ) / 260392

GCD(968, 538) = 520784 / 260392

GCD(968, 538) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 723

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

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

GCD(2, 723) = 1446 / 1446

GCD(2, 723) = 1

GCD of 968, 538, 723 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 968, 538, 723

1. What is the GCD of 968, 538, 723?

GCD of 968, 538, 723 is 1


2. Where do I get the detailed procedure to find GCD of 968, 538, 723?

You can find a detailed procedure to find GCD of 968, 538, 723 on our page.


3. How to find GCD of 968, 538, 723 on a calculator?

You can find the GCD of 968, 538, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.