GCD of 431, 725, 393, 140 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, 725, 393, 140 i.e. 1 largest integer that divides all the numbers equally.

GCD of 431, 725, 393, 140 is 1

GCD(431, 725, 393, 140) = 1

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

GCD of

GCD of numbers 431, 725, 393, 140 is 1

GCD(431, 725, 393, 140) = 1

GCD of 431,725,393,140 Calculator

GCDof 431,725,393,140 is 1

Given Input numbers are 431, 725, 393, 140

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 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 431, 725, 393, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 725, 393, 140 is 1.

Therefore, GCD of numbers 431, 725, 393, 140 is 1

Finding GCD of 431, 725, 393, 140 using Prime Factorization

Given Input Data is 431, 725, 393, 140

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

Prime Factorization of 431 is 431

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 393 is 3 x 131

Prime Factorization of 140 is 2 x 2 x 5 x 7

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

Finding GCD of 431, 725, 393, 140 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, 725) = 312475

GCD(431, 725) = ( 431 x 725 ) / 312475

GCD(431, 725) = 312475 / 312475

GCD(431, 725) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 393

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

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

GCD(1, 393) = 393 / 393

GCD(1, 393) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 431, 725, 393, 140 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 431, 725, 393, 140

1. What is the GCD of 431, 725, 393, 140?

GCD of 431, 725, 393, 140 is 1


2. Where do I get the detailed procedure to find GCD of 431, 725, 393, 140?

You can find a detailed procedure to find GCD of 431, 725, 393, 140 on our page.


3. How to find GCD of 431, 725, 393, 140 on a calculator?

You can find the GCD of 431, 725, 393, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.