GCD of 241, 861, 13, 360 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 241, 861, 13, 360 i.e. 1 largest integer that divides all the numbers equally.

GCD of 241, 861, 13, 360 is 1

GCD(241, 861, 13, 360) = 1

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

GCD of

GCD of numbers 241, 861, 13, 360 is 1

GCD(241, 861, 13, 360) = 1

GCD of 241,861,13,360 Calculator

GCDof 241,861,13,360 is 1

Given Input numbers are 241, 861, 13, 360

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

Divisors of 241

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

1, 241

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 241, 861, 13, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 861, 13, 360 is 1.

Therefore, GCD of numbers 241, 861, 13, 360 is 1

Finding GCD of 241, 861, 13, 360 using Prime Factorization

Given Input Data is 241, 861, 13, 360

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

Prime Factorization of 241 is 241

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 13 is 13

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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

Finding GCD of 241, 861, 13, 360 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(241, 861) = 207501

GCD(241, 861) = ( 241 x 861 ) / 207501

GCD(241, 861) = 207501 / 207501

GCD(241, 861) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 241, 861, 13, 360 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 241, 861, 13, 360

1. What is the GCD of 241, 861, 13, 360?

GCD of 241, 861, 13, 360 is 1


2. Where do I get the detailed procedure to find GCD of 241, 861, 13, 360?

You can find a detailed procedure to find GCD of 241, 861, 13, 360 on our page.


3. How to find GCD of 241, 861, 13, 360 on a calculator?

You can find the GCD of 241, 861, 13, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.