GCD of 299, 812, 331 Calculator

Given Input numbers are 299, 812, 331

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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 299, 812, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 812, 331 is 1.

Therefore, GCD of numbers 299, 812, 331 is 1

Given Input Data is 299, 812, 331

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 331 is 331

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

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(299, 812) = 242788

GCD(299, 812) = ( 299 x 812 ) / 242788

GCD(299, 812) = 242788 / 242788

GCD(299, 812) = 1

Step2:

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 299, 812, 331 is 1

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1. What is the GCD of 299, 812, 331?

GCD of 299, 812, 331 is 1

2. Where do I get the detailed procedure to find GCD of 299, 812, 331?

You can find a detailed procedure to find GCD of 299, 812, 331 on our page.

3. How to find GCD of 299, 812, 331 on a calculator?

You can find the GCD of 299, 812, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.