GCD of 920, 234, 25, 204 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 920, 234, 25, 204 i.e. 1 largest integer that divides all the numbers equally.

GCD of 920, 234, 25, 204 is 1

GCD(920, 234, 25, 204) = 1

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

GCD of

GCD of numbers 920, 234, 25, 204 is 1

GCD(920, 234, 25, 204) = 1

GCD of 920,234,25,204 Calculator

GCDof 920,234,25,204 is 1

Given Input numbers are 920, 234, 25, 204

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

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

Greatest Common Divisior

We found the divisors of 920, 234, 25, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 234, 25, 204 is 1.

Therefore, GCD of numbers 920, 234, 25, 204 is 1

Finding GCD of 920, 234, 25, 204 using Prime Factorization

Given Input Data is 920, 234, 25, 204

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 25 is 5 x 5

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

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

Finding GCD of 920, 234, 25, 204 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(920, 234) = 107640

GCD(920, 234) = ( 920 x 234 ) / 107640

GCD(920, 234) = 215280 / 107640

GCD(920, 234) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 920, 234, 25, 204 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 920, 234, 25, 204

1. What is the GCD of 920, 234, 25, 204?

GCD of 920, 234, 25, 204 is 1


2. Where do I get the detailed procedure to find GCD of 920, 234, 25, 204?

You can find a detailed procedure to find GCD of 920, 234, 25, 204 on our page.


3. How to find GCD of 920, 234, 25, 204 on a calculator?

You can find the GCD of 920, 234, 25, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.