GCD of 72, 561, 439, 229 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 72, 561, 439, 229 i.e. 1 largest integer that divides all the numbers equally.

GCD of 72, 561, 439, 229 is 1

GCD(72, 561, 439, 229) = 1

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

GCD of

GCD of numbers 72, 561, 439, 229 is 1

GCD(72, 561, 439, 229) = 1

GCD of 72,561,439,229 Calculator

GCDof 72,561,439,229 is 1

Given Input numbers are 72, 561, 439, 229

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

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 439

List of positive integer divisors of 439 that divides 439 without a remainder.

1, 439

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 72, 561, 439, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 561, 439, 229 is 1.

Therefore, GCD of numbers 72, 561, 439, 229 is 1

Finding GCD of 72, 561, 439, 229 using Prime Factorization

Given Input Data is 72, 561, 439, 229

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

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 439 is 439

Prime Factorization of 229 is 229

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

Finding GCD of 72, 561, 439, 229 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(72, 561) = 13464

GCD(72, 561) = ( 72 x 561 ) / 13464

GCD(72, 561) = 40392 / 13464

GCD(72, 561) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 439

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

LCM(3, 439) = 1317

GCD(3, 439) = ( 3 x 439 ) / 1317

GCD(3, 439) = 1317 / 1317

GCD(3, 439) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 72, 561, 439, 229 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 72, 561, 439, 229

1. What is the GCD of 72, 561, 439, 229?

GCD of 72, 561, 439, 229 is 1


2. Where do I get the detailed procedure to find GCD of 72, 561, 439, 229?

You can find a detailed procedure to find GCD of 72, 561, 439, 229 on our page.


3. How to find GCD of 72, 561, 439, 229 on a calculator?

You can find the GCD of 72, 561, 439, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.