GCD of 716, 538, 391 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 716, 538, 391 i.e. 1 largest integer that divides all the numbers equally.

GCD of 716, 538, 391 is 1

GCD(716, 538, 391) = 1

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

GCD of

GCD of numbers 716, 538, 391 is 1

GCD(716, 538, 391) = 1

GCD of 716,538,391 Calculator

GCDof 716,538,391 is 1

Given Input numbers are 716, 538, 391

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Greatest Common Divisior

We found the divisors of 716, 538, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 538, 391 is 1.

Therefore, GCD of numbers 716, 538, 391 is 1

Finding GCD of 716, 538, 391 using Prime Factorization

Given Input Data is 716, 538, 391

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 538 is 2 x 269

Prime Factorization of 391 is 17 x 23

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

Finding GCD of 716, 538, 391 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(716, 538) = 192604

GCD(716, 538) = ( 716 x 538 ) / 192604

GCD(716, 538) = 385208 / 192604

GCD(716, 538) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 391

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

LCM(2, 391) = 782

GCD(2, 391) = ( 2 x 391 ) / 782

GCD(2, 391) = 782 / 782

GCD(2, 391) = 1

GCD of 716, 538, 391 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 716, 538, 391

1. What is the GCD of 716, 538, 391?

GCD of 716, 538, 391 is 1


2. Where do I get the detailed procedure to find GCD of 716, 538, 391?

You can find a detailed procedure to find GCD of 716, 538, 391 on our page.


3. How to find GCD of 716, 538, 391 on a calculator?

You can find the GCD of 716, 538, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.