GCD of 199, 971, 985, 331 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, 971, 985, 331 i.e. 1 largest integer that divides all the numbers equally.

GCD of 199, 971, 985, 331 is 1

GCD(199, 971, 985, 331) = 1

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

GCD of

GCD of numbers 199, 971, 985, 331 is 1

GCD(199, 971, 985, 331) = 1

GCD of 199,971,985,331 Calculator

GCDof 199,971,985,331 is 1

Given Input numbers are 199, 971, 985, 331

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 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 199, 971, 985, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 971, 985, 331 is 1.

Therefore, GCD of numbers 199, 971, 985, 331 is 1

Finding GCD of 199, 971, 985, 331 using Prime Factorization

Given Input Data is 199, 971, 985, 331

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

Prime Factorization of 199 is 199

Prime Factorization of 971 is 971

Prime Factorization of 985 is 5 x 197

Prime Factorization of 331 is 331

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

Finding GCD of 199, 971, 985, 331 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, 971) = 193229

GCD(199, 971) = ( 199 x 971 ) / 193229

GCD(199, 971) = 193229 / 193229

GCD(199, 971) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 199, 971, 985, 331 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 199, 971, 985, 331

1. What is the GCD of 199, 971, 985, 331?

GCD of 199, 971, 985, 331 is 1


2. Where do I get the detailed procedure to find GCD of 199, 971, 985, 331?

You can find a detailed procedure to find GCD of 199, 971, 985, 331 on our page.


3. How to find GCD of 199, 971, 985, 331 on a calculator?

You can find the GCD of 199, 971, 985, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.