GCD of 531, 405, 22, 357 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 531, 405, 22, 357 i.e. 1 largest integer that divides all the numbers equally.

GCD of 531, 405, 22, 357 is 1

GCD(531, 405, 22, 357) = 1

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

GCD of

GCD of numbers 531, 405, 22, 357 is 1

GCD(531, 405, 22, 357) = 1

GCD of 531,405,22,357 Calculator

GCDof 531,405,22,357 is 1

Given Input numbers are 531, 405, 22, 357

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

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 531, 405, 22, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 405, 22, 357 is 1.

Therefore, GCD of numbers 531, 405, 22, 357 is 1

Finding GCD of 531, 405, 22, 357 using Prime Factorization

Given Input Data is 531, 405, 22, 357

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

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 22 is 2 x 11

Prime Factorization of 357 is 3 x 7 x 17

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

Finding GCD of 531, 405, 22, 357 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(531, 405) = 23895

GCD(531, 405) = ( 531 x 405 ) / 23895

GCD(531, 405) = 215055 / 23895

GCD(531, 405) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 22

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

LCM(9, 22) = 198

GCD(9, 22) = ( 9 x 22 ) / 198

GCD(9, 22) = 198 / 198

GCD(9, 22) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 531, 405, 22, 357 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 531, 405, 22, 357

1. What is the GCD of 531, 405, 22, 357?

GCD of 531, 405, 22, 357 is 1


2. Where do I get the detailed procedure to find GCD of 531, 405, 22, 357?

You can find a detailed procedure to find GCD of 531, 405, 22, 357 on our page.


3. How to find GCD of 531, 405, 22, 357 on a calculator?

You can find the GCD of 531, 405, 22, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.