GCD of 225, 725, 901, 625 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 225, 725, 901, 625 i.e. 1 largest integer that divides all the numbers equally.

GCD of 225, 725, 901, 625 is 1

GCD(225, 725, 901, 625) = 1

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

GCD of

GCD of numbers 225, 725, 901, 625 is 1

GCD(225, 725, 901, 625) = 1

GCD of 225,725,901,625 Calculator

GCDof 225,725,901,625 is 1

Given Input numbers are 225, 725, 901, 625

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

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Greatest Common Divisior

We found the divisors of 225, 725, 901, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 725, 901, 625 is 1.

Therefore, GCD of numbers 225, 725, 901, 625 is 1

Finding GCD of 225, 725, 901, 625 using Prime Factorization

Given Input Data is 225, 725, 901, 625

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

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 901 is 17 x 53

Prime Factorization of 625 is 5 x 5 x 5 x 5

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

Finding GCD of 225, 725, 901, 625 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(225, 725) = 6525

GCD(225, 725) = ( 225 x 725 ) / 6525

GCD(225, 725) = 163125 / 6525

GCD(225, 725) = 25


Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 901

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

LCM(25, 901) = 22525

GCD(25, 901) = ( 25 x 901 ) / 22525

GCD(25, 901) = 22525 / 22525

GCD(25, 901) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 625

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

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

GCD(1, 625) = 625 / 625

GCD(1, 625) = 1

GCD of 225, 725, 901, 625 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 225, 725, 901, 625

1. What is the GCD of 225, 725, 901, 625?

GCD of 225, 725, 901, 625 is 1


2. Where do I get the detailed procedure to find GCD of 225, 725, 901, 625?

You can find a detailed procedure to find GCD of 225, 725, 901, 625 on our page.


3. How to find GCD of 225, 725, 901, 625 on a calculator?

You can find the GCD of 225, 725, 901, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.