GCD of 997, 325, 309, 940 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 997, 325, 309, 940 i.e. 1 largest integer that divides all the numbers equally.

GCD of 997, 325, 309, 940 is 1

GCD(997, 325, 309, 940) = 1

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

GCD of

GCD of numbers 997, 325, 309, 940 is 1

GCD(997, 325, 309, 940) = 1

GCD of 997,325,309,940 Calculator

GCDof 997,325,309,940 is 1

Given Input numbers are 997, 325, 309, 940

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 997, 325, 309, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 325, 309, 940 is 1.

Therefore, GCD of numbers 997, 325, 309, 940 is 1

Finding GCD of 997, 325, 309, 940 using Prime Factorization

Given Input Data is 997, 325, 309, 940

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

Prime Factorization of 997 is 997

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 309 is 3 x 103

Prime Factorization of 940 is 2 x 2 x 5 x 47

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

Finding GCD of 997, 325, 309, 940 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(997, 325) = 324025

GCD(997, 325) = ( 997 x 325 ) / 324025

GCD(997, 325) = 324025 / 324025

GCD(997, 325) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 997, 325, 309, 940 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 997, 325, 309, 940

1. What is the GCD of 997, 325, 309, 940?

GCD of 997, 325, 309, 940 is 1


2. Where do I get the detailed procedure to find GCD of 997, 325, 309, 940?

You can find a detailed procedure to find GCD of 997, 325, 309, 940 on our page.


3. How to find GCD of 997, 325, 309, 940 on a calculator?

You can find the GCD of 997, 325, 309, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.