GCD of 36, 59, 68, 26 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 36, 59, 68, 26 i.e. 1 largest integer that divides all the numbers equally.

GCD of 36, 59, 68, 26 is 1

GCD(36, 59, 68, 26) = 1

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

GCD of

GCD of numbers 36, 59, 68, 26 is 1

GCD(36, 59, 68, 26) = 1

GCD of 36,59,68,26 Calculator

GCDof 36,59,68,26 is 1

Given Input numbers are 36, 59, 68, 26

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 59

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

1, 59

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Greatest Common Divisior

We found the divisors of 36, 59, 68, 26 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 59, 68, 26 is 1.

Therefore, GCD of numbers 36, 59, 68, 26 is 1

Finding GCD of 36, 59, 68, 26 using Prime Factorization

Given Input Data is 36, 59, 68, 26

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 59 is 59

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 26 is 2 x 13

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

Finding GCD of 36, 59, 68, 26 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(36, 59) = 2124

GCD(36, 59) = ( 36 x 59 ) / 2124

GCD(36, 59) = 2124 / 2124

GCD(36, 59) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 26

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

LCM(1, 26) = 26

GCD(1, 26) = ( 1 x 26 ) / 26

GCD(1, 26) = 26 / 26

GCD(1, 26) = 1

GCD of 36, 59, 68, 26 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 36, 59, 68, 26

1. What is the GCD of 36, 59, 68, 26?

GCD of 36, 59, 68, 26 is 1


2. Where do I get the detailed procedure to find GCD of 36, 59, 68, 26?

You can find a detailed procedure to find GCD of 36, 59, 68, 26 on our page.


3. How to find GCD of 36, 59, 68, 26 on a calculator?

You can find the GCD of 36, 59, 68, 26 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.