GCD of 198, 879, 116 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 198, 879, 116 i.e. 1 largest integer that divides all the numbers equally.

GCD of 198, 879, 116 is 1

GCD(198, 879, 116) = 1

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

GCD of

GCD of numbers 198, 879, 116 is 1

GCD(198, 879, 116) = 1

GCD of 198,879,116 Calculator

GCDof 198,879,116 is 1

Given Input numbers are 198, 879, 116

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 116

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

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 198, 879, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 879, 116 is 1.

Therefore, GCD of numbers 198, 879, 116 is 1

Finding GCD of 198, 879, 116 using Prime Factorization

Given Input Data is 198, 879, 116

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 879 is 3 x 293

Prime Factorization of 116 is 2 x 2 x 29

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

Finding GCD of 198, 879, 116 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(198, 879) = 58014

GCD(198, 879) = ( 198 x 879 ) / 58014

GCD(198, 879) = 174042 / 58014

GCD(198, 879) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 116

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

LCM(3, 116) = 348

GCD(3, 116) = ( 3 x 116 ) / 348

GCD(3, 116) = 348 / 348

GCD(3, 116) = 1

GCD of 198, 879, 116 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 198, 879, 116

1. What is the GCD of 198, 879, 116?

GCD of 198, 879, 116 is 1

2. Where do I get the detailed procedure to find GCD of 198, 879, 116?

You can find a detailed procedure to find GCD of 198, 879, 116 on our page.

3. How to find GCD of 198, 879, 116 on a calculator?

You can find the GCD of 198, 879, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.