GCD of 431, 997, 349, 931 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 431, 997, 349, 931 i.e. 1 largest integer that divides all the numbers equally.

GCD of 431, 997, 349, 931 is 1

GCD(431, 997, 349, 931) = 1

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

GCD of

GCD of numbers 431, 997, 349, 931 is 1

GCD(431, 997, 349, 931) = 1

GCD of 431,997,349,931 Calculator

GCDof 431,997,349,931 is 1

Given Input numbers are 431, 997, 349, 931

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 997

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

1, 997

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 431, 997, 349, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 997, 349, 931 is 1.

Therefore, GCD of numbers 431, 997, 349, 931 is 1

Finding GCD of 431, 997, 349, 931 using Prime Factorization

Given Input Data is 431, 997, 349, 931

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

Prime Factorization of 431 is 431

Prime Factorization of 997 is 997

Prime Factorization of 349 is 349

Prime Factorization of 931 is 7 x 7 x 19

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

Finding GCD of 431, 997, 349, 931 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(431, 997) = 429707

GCD(431, 997) = ( 431 x 997 ) / 429707

GCD(431, 997) = 429707 / 429707

GCD(431, 997) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 931

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

LCM(1, 931) = 931

GCD(1, 931) = ( 1 x 931 ) / 931

GCD(1, 931) = 931 / 931

GCD(1, 931) = 1

GCD of 431, 997, 349, 931 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 431, 997, 349, 931

1. What is the GCD of 431, 997, 349, 931?

GCD of 431, 997, 349, 931 is 1


2. Where do I get the detailed procedure to find GCD of 431, 997, 349, 931?

You can find a detailed procedure to find GCD of 431, 997, 349, 931 on our page.


3. How to find GCD of 431, 997, 349, 931 on a calculator?

You can find the GCD of 431, 997, 349, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.