GCD of 364, 983, 187, 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 364, 983, 187, 724 i.e. 1 largest integer that divides all the numbers equally.

GCD of 364, 983, 187, 724 is 1

GCD(364, 983, 187, 724) = 1

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

GCD of

GCD of numbers 364, 983, 187, 724 is 1

GCD(364, 983, 187, 724) = 1

GCD of 364,983,187,724 Calculator

GCDof 364,983,187,724 is 1

Given Input numbers are 364, 983, 187, 724

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

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 364, 983, 187, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 983, 187, 724 is 1.

Therefore, GCD of numbers 364, 983, 187, 724 is 1

Finding GCD of 364, 983, 187, 724 using Prime Factorization

Given Input Data is 364, 983, 187, 724

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 983 is 983

Prime Factorization of 187 is 11 x 17

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 364, 983, 187, 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(364, 983) = 357812

GCD(364, 983) = ( 364 x 983 ) / 357812

GCD(364, 983) = 357812 / 357812

GCD(364, 983) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 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 364, 983, 187, 724 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 364, 983, 187, 724

1. What is the GCD of 364, 983, 187, 724?

GCD of 364, 983, 187, 724 is 1


2. Where do I get the detailed procedure to find GCD of 364, 983, 187, 724?

You can find a detailed procedure to find GCD of 364, 983, 187, 724 on our page.


3. How to find GCD of 364, 983, 187, 724 on a calculator?

You can find the GCD of 364, 983, 187, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.