GCD of 199, 981, 59 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 199, 981, 59 i.e. 1 largest integer that divides all the numbers equally.

GCD of 199, 981, 59 is 1

GCD(199, 981, 59) = 1

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

GCD of

GCD of numbers 199, 981, 59 is 1

GCD(199, 981, 59) = 1

GCD of 199,981,59 Calculator

GCDof 199,981,59 is 1

Given Input numbers are 199, 981, 59

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Greatest Common Divisior

We found the divisors of 199, 981, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 981, 59 is 1.

Therefore, GCD of numbers 199, 981, 59 is 1

Finding GCD of 199, 981, 59 using Prime Factorization

Given Input Data is 199, 981, 59

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

Prime Factorization of 199 is 199

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 59 is 59

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

Finding GCD of 199, 981, 59 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(199, 981) = 195219

GCD(199, 981) = ( 199 x 981 ) / 195219

GCD(199, 981) = 195219 / 195219

GCD(199, 981) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

GCD of 199, 981, 59 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 199, 981, 59

1. What is the GCD of 199, 981, 59?

GCD of 199, 981, 59 is 1

2. Where do I get the detailed procedure to find GCD of 199, 981, 59?

You can find a detailed procedure to find GCD of 199, 981, 59 on our page.

3. How to find GCD of 199, 981, 59 on a calculator?

You can find the GCD of 199, 981, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.