GCD of 199, 821, 296 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, 821, 296 i.e. 1 largest integer that divides all the numbers equally.

GCD of 199, 821, 296 is 1

GCD(199, 821, 296) = 1

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

GCD of

GCD of numbers 199, 821, 296 is 1

GCD(199, 821, 296) = 1

GCD of 199,821,296 Calculator

GCDof 199,821,296 is 1

Given Input numbers are 199, 821, 296

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 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 199, 821, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 821, 296 is 1.

Therefore, GCD of numbers 199, 821, 296 is 1

Finding GCD of 199, 821, 296 using Prime Factorization

Given Input Data is 199, 821, 296

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

Prime Factorization of 199 is 199

Prime Factorization of 821 is 821

Prime Factorization of 296 is 2 x 2 x 2 x 37

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

Finding GCD of 199, 821, 296 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, 821) = 163379

GCD(199, 821) = ( 199 x 821 ) / 163379

GCD(199, 821) = 163379 / 163379

GCD(199, 821) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 199, 821, 296 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 199, 821, 296

1. What is the GCD of 199, 821, 296?

GCD of 199, 821, 296 is 1


2. Where do I get the detailed procedure to find GCD of 199, 821, 296?

You can find a detailed procedure to find GCD of 199, 821, 296 on our page.


3. How to find GCD of 199, 821, 296 on a calculator?

You can find the GCD of 199, 821, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.