GCD of 913, 363, 31, 716 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 913, 363, 31, 716 i.e. 1 largest integer that divides all the numbers equally.

GCD of 913, 363, 31, 716 is 1

GCD(913, 363, 31, 716) = 1

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

GCD of

GCD of numbers 913, 363, 31, 716 is 1

GCD(913, 363, 31, 716) = 1

GCD of 913,363,31,716 Calculator

GCDof 913,363,31,716 is 1

Given Input numbers are 913, 363, 31, 716

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

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 716

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

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 913, 363, 31, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 913, 363, 31, 716 is 1.

Therefore, GCD of numbers 913, 363, 31, 716 is 1

Finding GCD of 913, 363, 31, 716 using Prime Factorization

Given Input Data is 913, 363, 31, 716

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

Prime Factorization of 913 is 11 x 83

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 31 is 31

Prime Factorization of 716 is 2 x 2 x 179

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

Finding GCD of 913, 363, 31, 716 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(913, 363) = 30129

GCD(913, 363) = ( 913 x 363 ) / 30129

GCD(913, 363) = 331419 / 30129

GCD(913, 363) = 11


Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 31

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

LCM(11, 31) = 341

GCD(11, 31) = ( 11 x 31 ) / 341

GCD(11, 31) = 341 / 341

GCD(11, 31) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 913, 363, 31, 716 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 913, 363, 31, 716

1. What is the GCD of 913, 363, 31, 716?

GCD of 913, 363, 31, 716 is 1


2. Where do I get the detailed procedure to find GCD of 913, 363, 31, 716?

You can find a detailed procedure to find GCD of 913, 363, 31, 716 on our page.


3. How to find GCD of 913, 363, 31, 716 on a calculator?

You can find the GCD of 913, 363, 31, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.