GCD of 27, 47, 26, 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 27, 47, 26, 72 i.e. 1 largest integer that divides all the numbers equally.

GCD of 27, 47, 26, 72 is 1

GCD(27, 47, 26, 72) = 1

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

GCD of

GCD of numbers 27, 47, 26, 72 is 1

GCD(27, 47, 26, 72) = 1

GCD of 27,47,26,72 Calculator

GCDof 27,47,26,72 is 1

Given Input numbers are 27, 47, 26, 72

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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 26

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

1, 2, 13, 26

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 27, 47, 26, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 47, 26, 72 is 1.

Therefore, GCD of numbers 27, 47, 26, 72 is 1

Finding GCD of 27, 47, 26, 72 using Prime Factorization

Given Input Data is 27, 47, 26, 72

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 47 is 47

Prime Factorization of 26 is 2 x 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 27, 47, 26, 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(27, 47) = 1269

GCD(27, 47) = ( 27 x 47 ) / 1269

GCD(27, 47) = 1269 / 1269

GCD(27, 47) = 1


Step2:

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


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 27, 47, 26, 72 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 27, 47, 26, 72

1. What is the GCD of 27, 47, 26, 72?

GCD of 27, 47, 26, 72 is 1


2. Where do I get the detailed procedure to find GCD of 27, 47, 26, 72?

You can find a detailed procedure to find GCD of 27, 47, 26, 72 on our page.


3. How to find GCD of 27, 47, 26, 72 on a calculator?

You can find the GCD of 27, 47, 26, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.