GCD of 321, 123, 28, 522 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 321, 123, 28, 522 i.e. 1 largest integer that divides all the numbers equally.

GCD of 321, 123, 28, 522 is 1

GCD(321, 123, 28, 522) = 1

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

GCD of

GCD of numbers 321, 123, 28, 522 is 1

GCD(321, 123, 28, 522) = 1

GCD of 321,123,28,522 Calculator

GCDof 321,123,28,522 is 1

Given Input numbers are 321, 123, 28, 522

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 321, 123, 28, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 123, 28, 522 is 1.

Therefore, GCD of numbers 321, 123, 28, 522 is 1

Finding GCD of 321, 123, 28, 522 using Prime Factorization

Given Input Data is 321, 123, 28, 522

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 123 is 3 x 41

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 522 is 2 x 3 x 3 x 29

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

Finding GCD of 321, 123, 28, 522 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(321, 123) = 13161

GCD(321, 123) = ( 321 x 123 ) / 13161

GCD(321, 123) = 39483 / 13161

GCD(321, 123) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 28

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

LCM(3, 28) = 84

GCD(3, 28) = ( 3 x 28 ) / 84

GCD(3, 28) = 84 / 84

GCD(3, 28) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 321, 123, 28, 522 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 321, 123, 28, 522

1. What is the GCD of 321, 123, 28, 522?

GCD of 321, 123, 28, 522 is 1


2. Where do I get the detailed procedure to find GCD of 321, 123, 28, 522?

You can find a detailed procedure to find GCD of 321, 123, 28, 522 on our page.


3. How to find GCD of 321, 123, 28, 522 on a calculator?

You can find the GCD of 321, 123, 28, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.