GCD of 468, 331, 13, 998 Calculator

Given Input numbers are 468, 331, 13, 998

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 331

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

1, 331

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 468, 331, 13, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 331, 13, 998 is 1.

Therefore, GCD of numbers 468, 331, 13, 998 is 1

Given Input Data is 468, 331, 13, 998

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 331 is 331

Prime Factorization of 13 is 13

Prime Factorization of 998 is 2 x 499

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(468, 331) = 154908

GCD(468, 331) = ( 468 x 331 ) / 154908

GCD(468, 331) = 154908 / 154908

GCD(468, 331) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 468, 331, 13, 998 is 1

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1. What is the GCD of 468, 331, 13, 998?

GCD of 468, 331, 13, 998 is 1

2. Where do I get the detailed procedure to find GCD of 468, 331, 13, 998?

You can find a detailed procedure to find GCD of 468, 331, 13, 998 on our page.

3. How to find GCD of 468, 331, 13, 998 on a calculator?

You can find the GCD of 468, 331, 13, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.