GCD of 731, 285, 337, 972 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 731, 285, 337, 972 i.e. 1 largest integer that divides all the numbers equally.

GCD of 731, 285, 337, 972 is 1

GCD(731, 285, 337, 972) = 1

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

GCD of

GCD of numbers 731, 285, 337, 972 is 1

GCD(731, 285, 337, 972) = 1

GCD of 731,285,337,972 Calculator

GCDof 731,285,337,972 is 1

Given Input numbers are 731, 285, 337, 972

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

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

Greatest Common Divisior

We found the divisors of 731, 285, 337, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 285, 337, 972 is 1.

Therefore, GCD of numbers 731, 285, 337, 972 is 1

Finding GCD of 731, 285, 337, 972 using Prime Factorization

Given Input Data is 731, 285, 337, 972

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 337 is 337

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

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

Finding GCD of 731, 285, 337, 972 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(731, 285) = 208335

GCD(731, 285) = ( 731 x 285 ) / 208335

GCD(731, 285) = 208335 / 208335

GCD(731, 285) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 337

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

LCM(1, 337) = 337

GCD(1, 337) = ( 1 x 337 ) / 337

GCD(1, 337) = 337 / 337

GCD(1, 337) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 731, 285, 337, 972 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 731, 285, 337, 972

1. What is the GCD of 731, 285, 337, 972?

GCD of 731, 285, 337, 972 is 1


2. Where do I get the detailed procedure to find GCD of 731, 285, 337, 972?

You can find a detailed procedure to find GCD of 731, 285, 337, 972 on our page.


3. How to find GCD of 731, 285, 337, 972 on a calculator?

You can find the GCD of 731, 285, 337, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.