GCD of 31, 731, 602, 252 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, 731, 602, 252 i.e. 1 largest integer that divides all the numbers equally.

GCD of 31, 731, 602, 252 is 1

GCD(31, 731, 602, 252) = 1

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

GCD of

GCD of numbers 31, 731, 602, 252 is 1

GCD(31, 731, 602, 252) = 1

GCD of 31,731,602,252 Calculator

GCDof 31,731,602,252 is 1

Given Input numbers are 31, 731, 602, 252

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 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 31, 731, 602, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 731, 602, 252 is 1.

Therefore, GCD of numbers 31, 731, 602, 252 is 1

Finding GCD of 31, 731, 602, 252 using Prime Factorization

Given Input Data is 31, 731, 602, 252

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

Prime Factorization of 31 is 31

Prime Factorization of 731 is 17 x 43

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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

Finding GCD of 31, 731, 602, 252 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, 731) = 22661

GCD(31, 731) = ( 31 x 731 ) / 22661

GCD(31, 731) = 22661 / 22661

GCD(31, 731) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 602

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

LCM(1, 602) = 602

GCD(1, 602) = ( 1 x 602 ) / 602

GCD(1, 602) = 602 / 602

GCD(1, 602) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 31, 731, 602, 252 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 31, 731, 602, 252

1. What is the GCD of 31, 731, 602, 252?

GCD of 31, 731, 602, 252 is 1


2. Where do I get the detailed procedure to find GCD of 31, 731, 602, 252?

You can find a detailed procedure to find GCD of 31, 731, 602, 252 on our page.


3. How to find GCD of 31, 731, 602, 252 on a calculator?

You can find the GCD of 31, 731, 602, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.