GCD of 59, 9, 31, 41 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 59, 9, 31, 41 i.e. 1 largest integer that divides all the numbers equally.

GCD of 59, 9, 31, 41 is 1

GCD(59, 9, 31, 41) = 1

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

GCD of

GCD of numbers 59, 9, 31, 41 is 1

GCD(59, 9, 31, 41) = 1

GCD of 59,9,31,41 Calculator

GCDof 59,9,31,41 is 1

Given Input numbers are 59, 9, 31, 41

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 9

List of positive integer divisors of 9 that divides 9 without a remainder.

1, 3, 9

Divisors of 31

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

1, 31

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Greatest Common Divisior

We found the divisors of 59, 9, 31, 41 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 9, 31, 41 is 1.

Therefore, GCD of numbers 59, 9, 31, 41 is 1

Finding GCD of 59, 9, 31, 41 using Prime Factorization

Given Input Data is 59, 9, 31, 41

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

Prime Factorization of 59 is 59

Prime Factorization of 9 is 3 x 3

Prime Factorization of 31 is 31

Prime Factorization of 41 is 41

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

Finding GCD of 59, 9, 31, 41 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(59, 9) = 531

GCD(59, 9) = ( 59 x 9 ) / 531

GCD(59, 9) = 531 / 531

GCD(59, 9) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

GCD of 59, 9, 31, 41 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 59, 9, 31, 41

1. What is the GCD of 59, 9, 31, 41?

GCD of 59, 9, 31, 41 is 1


2. Where do I get the detailed procedure to find GCD of 59, 9, 31, 41?

You can find a detailed procedure to find GCD of 59, 9, 31, 41 on our page.


3. How to find GCD of 59, 9, 31, 41 on a calculator?

You can find the GCD of 59, 9, 31, 41 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.