GCD of 123, 422, 777, 724 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 123, 422, 777, 724 i.e. 1 largest integer that divides all the numbers equally.

GCD of 123, 422, 777, 724 is 1

GCD(123, 422, 777, 724) = 1

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

GCD of

GCD of numbers 123, 422, 777, 724 is 1

GCD(123, 422, 777, 724) = 1

GCD of 123,422,777,724 Calculator

GCDof 123,422,777,724 is 1

Given Input numbers are 123, 422, 777, 724

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 123, 422, 777, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 422, 777, 724 is 1.

Therefore, GCD of numbers 123, 422, 777, 724 is 1

Finding GCD of 123, 422, 777, 724 using Prime Factorization

Given Input Data is 123, 422, 777, 724

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 422 is 2 x 211

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 724 is 2 x 2 x 181

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

Finding GCD of 123, 422, 777, 724 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(123, 422) = 51906

GCD(123, 422) = ( 123 x 422 ) / 51906

GCD(123, 422) = 51906 / 51906

GCD(123, 422) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 777

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

LCM(1, 777) = 777

GCD(1, 777) = ( 1 x 777 ) / 777

GCD(1, 777) = 777 / 777

GCD(1, 777) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 123, 422, 777, 724 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 123, 422, 777, 724

1. What is the GCD of 123, 422, 777, 724?

GCD of 123, 422, 777, 724 is 1


2. Where do I get the detailed procedure to find GCD of 123, 422, 777, 724?

You can find a detailed procedure to find GCD of 123, 422, 777, 724 on our page.


3. How to find GCD of 123, 422, 777, 724 on a calculator?

You can find the GCD of 123, 422, 777, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.