GCD of 93, 31, 89, 52 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 93, 31, 89, 52 i.e. 1 largest integer that divides all the numbers equally.

GCD of 93, 31, 89, 52 is 1

GCD(93, 31, 89, 52) = 1

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

GCD of

GCD of numbers 93, 31, 89, 52 is 1

GCD(93, 31, 89, 52) = 1

GCD of 93,31,89,52 Calculator

GCDof 93,31,89,52 is 1

Given Input numbers are 93, 31, 89, 52

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

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Greatest Common Divisior

We found the divisors of 93, 31, 89, 52 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 93, 31, 89, 52 is 1.

Therefore, GCD of numbers 93, 31, 89, 52 is 1

Finding GCD of 93, 31, 89, 52 using Prime Factorization

Given Input Data is 93, 31, 89, 52

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

Prime Factorization of 93 is 3 x 31

Prime Factorization of 31 is 31

Prime Factorization of 89 is 89

Prime Factorization of 52 is 2 x 2 x 13

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

Finding GCD of 93, 31, 89, 52 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(93, 31) = 93

GCD(93, 31) = ( 93 x 31 ) / 93

GCD(93, 31) = 2883 / 93

GCD(93, 31) = 31


Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 89

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

LCM(31, 89) = 2759

GCD(31, 89) = ( 31 x 89 ) / 2759

GCD(31, 89) = 2759 / 2759

GCD(31, 89) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

GCD of 93, 31, 89, 52 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 93, 31, 89, 52

1. What is the GCD of 93, 31, 89, 52?

GCD of 93, 31, 89, 52 is 1


2. Where do I get the detailed procedure to find GCD of 93, 31, 89, 52?

You can find a detailed procedure to find GCD of 93, 31, 89, 52 on our page.


3. How to find GCD of 93, 31, 89, 52 on a calculator?

You can find the GCD of 93, 31, 89, 52 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.