GCD of 108, 204, 90, 451 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 108, 204, 90, 451 i.e. 1 largest integer that divides all the numbers equally.

GCD of 108, 204, 90, 451 is 1

GCD(108, 204, 90, 451) = 1

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

GCD of

GCD of numbers 108, 204, 90, 451 is 1

GCD(108, 204, 90, 451) = 1

GCD of 108,204,90,451 Calculator

GCDof 108,204,90,451 is 1

Given Input numbers are 108, 204, 90, 451

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Greatest Common Divisior

We found the divisors of 108, 204, 90, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 204, 90, 451 is 1.

Therefore, GCD of numbers 108, 204, 90, 451 is 1

Finding GCD of 108, 204, 90, 451 using Prime Factorization

Given Input Data is 108, 204, 90, 451

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 451 is 11 x 41

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

Finding GCD of 108, 204, 90, 451 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(108, 204) = 1836

GCD(108, 204) = ( 108 x 204 ) / 1836

GCD(108, 204) = 22032 / 1836

GCD(108, 204) = 12


Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 90

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

LCM(12, 90) = 180

GCD(12, 90) = ( 12 x 90 ) / 180

GCD(12, 90) = 1080 / 180

GCD(12, 90) = 6


Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 451

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

LCM(6, 451) = 2706

GCD(6, 451) = ( 6 x 451 ) / 2706

GCD(6, 451) = 2706 / 2706

GCD(6, 451) = 1

GCD of 108, 204, 90, 451 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 108, 204, 90, 451

1. What is the GCD of 108, 204, 90, 451?

GCD of 108, 204, 90, 451 is 1


2. Where do I get the detailed procedure to find GCD of 108, 204, 90, 451?

You can find a detailed procedure to find GCD of 108, 204, 90, 451 on our page.


3. How to find GCD of 108, 204, 90, 451 on a calculator?

You can find the GCD of 108, 204, 90, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.