GCD of 28, 304, 201, 225 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 28, 304, 201, 225 i.e. 1 largest integer that divides all the numbers equally.

GCD of 28, 304, 201, 225 is 1

GCD(28, 304, 201, 225) = 1

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

GCD of

GCD of numbers 28, 304, 201, 225 is 1

GCD(28, 304, 201, 225) = 1

GCD of 28,304,201,225 Calculator

GCDof 28,304,201,225 is 1

Given Input numbers are 28, 304, 201, 225

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

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 28, 304, 201, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 304, 201, 225 is 1.

Therefore, GCD of numbers 28, 304, 201, 225 is 1

Finding GCD of 28, 304, 201, 225 using Prime Factorization

Given Input Data is 28, 304, 201, 225

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 201 is 3 x 67

Prime Factorization of 225 is 3 x 3 x 5 x 5

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

Finding GCD of 28, 304, 201, 225 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(28, 304) = 2128

GCD(28, 304) = ( 28 x 304 ) / 2128

GCD(28, 304) = 8512 / 2128

GCD(28, 304) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 201

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

LCM(4, 201) = 804

GCD(4, 201) = ( 4 x 201 ) / 804

GCD(4, 201) = 804 / 804

GCD(4, 201) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 28, 304, 201, 225 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 28, 304, 201, 225

1. What is the GCD of 28, 304, 201, 225?

GCD of 28, 304, 201, 225 is 1


2. Where do I get the detailed procedure to find GCD of 28, 304, 201, 225?

You can find a detailed procedure to find GCD of 28, 304, 201, 225 on our page.


3. How to find GCD of 28, 304, 201, 225 on a calculator?

You can find the GCD of 28, 304, 201, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.