GCD of 963, 943, 748, 872 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 963, 943, 748, 872 i.e. 1 largest integer that divides all the numbers equally.

GCD of 963, 943, 748, 872 is 1

GCD(963, 943, 748, 872) = 1

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

GCD of

GCD of numbers 963, 943, 748, 872 is 1

GCD(963, 943, 748, 872) = 1

GCD of 963,943,748,872 Calculator

GCDof 963,943,748,872 is 1

Given Input numbers are 963, 943, 748, 872

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

Divisors of 963

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

1, 3, 9, 107, 321, 963

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 963, 943, 748, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 943, 748, 872 is 1.

Therefore, GCD of numbers 963, 943, 748, 872 is 1

Finding GCD of 963, 943, 748, 872 using Prime Factorization

Given Input Data is 963, 943, 748, 872

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

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 943 is 23 x 41

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 872 is 2 x 2 x 2 x 109

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

Finding GCD of 963, 943, 748, 872 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(963, 943) = 908109

GCD(963, 943) = ( 963 x 943 ) / 908109

GCD(963, 943) = 908109 / 908109

GCD(963, 943) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 963, 943, 748, 872 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 963, 943, 748, 872

1. What is the GCD of 963, 943, 748, 872?

GCD of 963, 943, 748, 872 is 1


2. Where do I get the detailed procedure to find GCD of 963, 943, 748, 872?

You can find a detailed procedure to find GCD of 963, 943, 748, 872 on our page.


3. How to find GCD of 963, 943, 748, 872 on a calculator?

You can find the GCD of 963, 943, 748, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.