GCD of 299, 851, 981 Calculator

Given Input numbers are 299, 851, 981

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 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 981

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

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 299, 851, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 851, 981 is 1.

Therefore, GCD of numbers 299, 851, 981 is 1

Given Input Data is 299, 851, 981

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 851 is 23 x 37

Prime Factorization of 981 is 3 x 3 x 109

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, 851) = 11063

GCD(299, 851) = ( 299 x 851 ) / 11063

GCD(299, 851) = 254449 / 11063

GCD(299, 851) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 981

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

LCM(23, 981) = 22563

GCD(23, 981) = ( 23 x 981 ) / 22563

GCD(23, 981) = 22563 / 22563

GCD(23, 981) = 1

GCD of 299, 851, 981 is 1

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1. What is the GCD of 299, 851, 981?

GCD of 299, 851, 981 is 1

2. Where do I get the detailed procedure to find GCD of 299, 851, 981?

You can find a detailed procedure to find GCD of 299, 851, 981 on our page.

3. How to find GCD of 299, 851, 981 on a calculator?

You can find the GCD of 299, 851, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.