GCD of 361, 116, 51, 863 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 361, 116, 51, 863 i.e. 1 largest integer that divides all the numbers equally.

GCD of 361, 116, 51, 863 is 1

GCD(361, 116, 51, 863) = 1

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

GCD of

GCD of numbers 361, 116, 51, 863 is 1

GCD(361, 116, 51, 863) = 1

GCD of 361,116,51,863 Calculator

GCDof 361,116,51,863 is 1

Given Input numbers are 361, 116, 51, 863

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 863

List of positive integer divisors of 863 that divides 863 without a remainder.

1, 863

Greatest Common Divisior

We found the divisors of 361, 116, 51, 863 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 116, 51, 863 is 1.

Therefore, GCD of numbers 361, 116, 51, 863 is 1

Finding GCD of 361, 116, 51, 863 using Prime Factorization

Given Input Data is 361, 116, 51, 863

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 51 is 3 x 17

Prime Factorization of 863 is 863

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

Finding GCD of 361, 116, 51, 863 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(361, 116) = 41876

GCD(361, 116) = ( 361 x 116 ) / 41876

GCD(361, 116) = 41876 / 41876

GCD(361, 116) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 863

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

LCM(1, 863) = 863

GCD(1, 863) = ( 1 x 863 ) / 863

GCD(1, 863) = 863 / 863

GCD(1, 863) = 1

GCD of 361, 116, 51, 863 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 361, 116, 51, 863

1. What is the GCD of 361, 116, 51, 863?

GCD of 361, 116, 51, 863 is 1


2. Where do I get the detailed procedure to find GCD of 361, 116, 51, 863?

You can find a detailed procedure to find GCD of 361, 116, 51, 863 on our page.


3. How to find GCD of 361, 116, 51, 863 on a calculator?

You can find the GCD of 361, 116, 51, 863 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.