GCD of 972, 191, 24, 775 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 972, 191, 24, 775 i.e. 1 largest integer that divides all the numbers equally.

GCD of 972, 191, 24, 775 is 1

GCD(972, 191, 24, 775) = 1

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

GCD of

GCD of numbers 972, 191, 24, 775 is 1

GCD(972, 191, 24, 775) = 1

GCD of 972,191,24,775 Calculator

GCDof 972,191,24,775 is 1

Given Input numbers are 972, 191, 24, 775

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 972, 191, 24, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 191, 24, 775 is 1.

Therefore, GCD of numbers 972, 191, 24, 775 is 1

Finding GCD of 972, 191, 24, 775 using Prime Factorization

Given Input Data is 972, 191, 24, 775

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 191 is 191

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 775 is 5 x 5 x 31

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

Finding GCD of 972, 191, 24, 775 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(972, 191) = 185652

GCD(972, 191) = ( 972 x 191 ) / 185652

GCD(972, 191) = 185652 / 185652

GCD(972, 191) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 972, 191, 24, 775 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 972, 191, 24, 775

1. What is the GCD of 972, 191, 24, 775?

GCD of 972, 191, 24, 775 is 1


2. Where do I get the detailed procedure to find GCD of 972, 191, 24, 775?

You can find a detailed procedure to find GCD of 972, 191, 24, 775 on our page.


3. How to find GCD of 972, 191, 24, 775 on a calculator?

You can find the GCD of 972, 191, 24, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.