GCD of 31, 950, 918, 322 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 31, 950, 918, 322 i.e. 1 largest integer that divides all the numbers equally.

GCD of 31, 950, 918, 322 is 1

GCD(31, 950, 918, 322) = 1

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

GCD of

GCD of numbers 31, 950, 918, 322 is 1

GCD(31, 950, 918, 322) = 1

GCD of 31,950,918,322 Calculator

GCDof 31,950,918,322 is 1

Given Input numbers are 31, 950, 918, 322

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

Divisors of 31

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

1, 31

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 31, 950, 918, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 950, 918, 322 is 1.

Therefore, GCD of numbers 31, 950, 918, 322 is 1

Finding GCD of 31, 950, 918, 322 using Prime Factorization

Given Input Data is 31, 950, 918, 322

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

Prime Factorization of 31 is 31

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 322 is 2 x 7 x 23

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

Finding GCD of 31, 950, 918, 322 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(31, 950) = 29450

GCD(31, 950) = ( 31 x 950 ) / 29450

GCD(31, 950) = 29450 / 29450

GCD(31, 950) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 31, 950, 918, 322 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 31, 950, 918, 322

1. What is the GCD of 31, 950, 918, 322?

GCD of 31, 950, 918, 322 is 1


2. Where do I get the detailed procedure to find GCD of 31, 950, 918, 322?

You can find a detailed procedure to find GCD of 31, 950, 918, 322 on our page.


3. How to find GCD of 31, 950, 918, 322 on a calculator?

You can find the GCD of 31, 950, 918, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.