GCD of 26, 5, 13, 72 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 26, 5, 13, 72 i.e. 1 largest integer that divides all the numbers equally.

GCD of 26, 5, 13, 72 is 1

GCD(26, 5, 13, 72) = 1

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

GCD of

GCD of numbers 26, 5, 13, 72 is 1

GCD(26, 5, 13, 72) = 1

GCD of 26,5,13,72 Calculator

GCDof 26,5,13,72 is 1

Given Input numbers are 26, 5, 13, 72

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

Divisors of 26

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

1, 2, 13, 26

Divisors of 5

List of positive integer divisors of 5 that divides 5 without a remainder.

1, 5

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Greatest Common Divisior

We found the divisors of 26, 5, 13, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 5, 13, 72 is 1.

Therefore, GCD of numbers 26, 5, 13, 72 is 1

Finding GCD of 26, 5, 13, 72 using Prime Factorization

Given Input Data is 26, 5, 13, 72

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 5 is 5

Prime Factorization of 13 is 13

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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

Finding GCD of 26, 5, 13, 72 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(26, 5) = 130

GCD(26, 5) = ( 26 x 5 ) / 130

GCD(26, 5) = 130 / 130

GCD(26, 5) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

GCD of 26, 5, 13, 72 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 26, 5, 13, 72

1. What is the GCD of 26, 5, 13, 72?

GCD of 26, 5, 13, 72 is 1


2. Where do I get the detailed procedure to find GCD of 26, 5, 13, 72?

You can find a detailed procedure to find GCD of 26, 5, 13, 72 on our page.


3. How to find GCD of 26, 5, 13, 72 on a calculator?

You can find the GCD of 26, 5, 13, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.