GCD of 825, 872, 241 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 825, 872, 241 i.e. 1 largest integer that divides all the numbers equally.

GCD of 825, 872, 241 is 1

GCD(825, 872, 241) = 1

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

GCD of

GCD of numbers 825, 872, 241 is 1

GCD(825, 872, 241) = 1

GCD of 825,872,241 Calculator

GCDof 825,872,241 is 1

Given Input numbers are 825, 872, 241

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Greatest Common Divisior

We found the divisors of 825, 872, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 872, 241 is 1.

Therefore, GCD of numbers 825, 872, 241 is 1

Finding GCD of 825, 872, 241 using Prime Factorization

Given Input Data is 825, 872, 241

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 241 is 241

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

Finding GCD of 825, 872, 241 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(825, 872) = 719400

GCD(825, 872) = ( 825 x 872 ) / 719400

GCD(825, 872) = 719400 / 719400

GCD(825, 872) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 241

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

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

GCD(1, 241) = 241 / 241

GCD(1, 241) = 1

GCD of 825, 872, 241 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 825, 872, 241

1. What is the GCD of 825, 872, 241?

GCD of 825, 872, 241 is 1


2. Where do I get the detailed procedure to find GCD of 825, 872, 241?

You can find a detailed procedure to find GCD of 825, 872, 241 on our page.


3. How to find GCD of 825, 872, 241 on a calculator?

You can find the GCD of 825, 872, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.