GCD of 387, 731, 696, 187 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 387, 731, 696, 187 i.e. 1 largest integer that divides all the numbers equally.

GCD of 387, 731, 696, 187 is 1

GCD(387, 731, 696, 187) = 1

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

GCD of

GCD of numbers 387, 731, 696, 187 is 1

GCD(387, 731, 696, 187) = 1

GCD of 387,731,696,187 Calculator

GCDof 387,731,696,187 is 1

Given Input numbers are 387, 731, 696, 187

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 731

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

1, 17, 43, 731

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 187

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

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 387, 731, 696, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 731, 696, 187 is 1.

Therefore, GCD of numbers 387, 731, 696, 187 is 1

Finding GCD of 387, 731, 696, 187 using Prime Factorization

Given Input Data is 387, 731, 696, 187

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 731 is 17 x 43

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 187 is 11 x 17

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

Finding GCD of 387, 731, 696, 187 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(387, 731) = 6579

GCD(387, 731) = ( 387 x 731 ) / 6579

GCD(387, 731) = 282897 / 6579

GCD(387, 731) = 43


Step2:

Here we consider the GCD from the above i.e. 43 as first number and the next as 696

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

LCM(43, 696) = 29928

GCD(43, 696) = ( 43 x 696 ) / 29928

GCD(43, 696) = 29928 / 29928

GCD(43, 696) = 1


Step3:

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

GCD of 387, 731, 696, 187 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 387, 731, 696, 187

1. What is the GCD of 387, 731, 696, 187?

GCD of 387, 731, 696, 187 is 1


2. Where do I get the detailed procedure to find GCD of 387, 731, 696, 187?

You can find a detailed procedure to find GCD of 387, 731, 696, 187 on our page.


3. How to find GCD of 387, 731, 696, 187 on a calculator?

You can find the GCD of 387, 731, 696, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.