GCD of 31, 213, 901, 702 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, 213, 901, 702 i.e. 1 largest integer that divides all the numbers equally.

GCD of 31, 213, 901, 702 is 1

GCD(31, 213, 901, 702) = 1

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

GCD of

GCD of numbers 31, 213, 901, 702 is 1

GCD(31, 213, 901, 702) = 1

GCD of 31,213,901,702 Calculator

GCDof 31,213,901,702 is 1

Given Input numbers are 31, 213, 901, 702

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 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 31, 213, 901, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 213, 901, 702 is 1.

Therefore, GCD of numbers 31, 213, 901, 702 is 1

Finding GCD of 31, 213, 901, 702 using Prime Factorization

Given Input Data is 31, 213, 901, 702

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

Prime Factorization of 31 is 31

Prime Factorization of 213 is 3 x 71

Prime Factorization of 901 is 17 x 53

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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

Finding GCD of 31, 213, 901, 702 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, 213) = 6603

GCD(31, 213) = ( 31 x 213 ) / 6603

GCD(31, 213) = 6603 / 6603

GCD(31, 213) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 31, 213, 901, 702 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 31, 213, 901, 702

1. What is the GCD of 31, 213, 901, 702?

GCD of 31, 213, 901, 702 is 1


2. Where do I get the detailed procedure to find GCD of 31, 213, 901, 702?

You can find a detailed procedure to find GCD of 31, 213, 901, 702 on our page.


3. How to find GCD of 31, 213, 901, 702 on a calculator?

You can find the GCD of 31, 213, 901, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.