GCD of 972, 739, 28, 635 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, 739, 28, 635 i.e. 1 largest integer that divides all the numbers equally.

GCD of 972, 739, 28, 635 is 1

GCD(972, 739, 28, 635) = 1

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

GCD of

GCD of numbers 972, 739, 28, 635 is 1

GCD(972, 739, 28, 635) = 1

GCD of 972,739,28,635 Calculator

GCDof 972,739,28,635 is 1

Given Input numbers are 972, 739, 28, 635

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 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 972, 739, 28, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 739, 28, 635 is 1.

Therefore, GCD of numbers 972, 739, 28, 635 is 1

Finding GCD of 972, 739, 28, 635 using Prime Factorization

Given Input Data is 972, 739, 28, 635

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 739 is 739

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 635 is 5 x 127

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

Finding GCD of 972, 739, 28, 635 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, 739) = 718308

GCD(972, 739) = ( 972 x 739 ) / 718308

GCD(972, 739) = 718308 / 718308

GCD(972, 739) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 635

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

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

GCD(1, 635) = 635 / 635

GCD(1, 635) = 1

GCD of 972, 739, 28, 635 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 972, 739, 28, 635

1. What is the GCD of 972, 739, 28, 635?

GCD of 972, 739, 28, 635 is 1


2. Where do I get the detailed procedure to find GCD of 972, 739, 28, 635?

You can find a detailed procedure to find GCD of 972, 739, 28, 635 on our page.


3. How to find GCD of 972, 739, 28, 635 on a calculator?

You can find the GCD of 972, 739, 28, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.