GCD of 468, 990, 314, 323 Calculator

Given Input numbers are 468, 990, 314, 323

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 468, 990, 314, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 990, 314, 323 is 1.

Therefore, GCD of numbers 468, 990, 314, 323 is 1

Given Input Data is 468, 990, 314, 323

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 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 314 is 2 x 157

Prime Factorization of 323 is 17 x 19

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, 990) = 25740

GCD(468, 990) = ( 468 x 990 ) / 25740

GCD(468, 990) = 463320 / 25740

GCD(468, 990) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 314

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

LCM(18, 314) = 2826

GCD(18, 314) = ( 18 x 314 ) / 2826

GCD(18, 314) = 5652 / 2826

GCD(18, 314) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 323

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

LCM(2, 323) = 646

GCD(2, 323) = ( 2 x 323 ) / 646

GCD(2, 323) = 646 / 646

GCD(2, 323) = 1

GCD of 468, 990, 314, 323 is 1

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1. What is the GCD of 468, 990, 314, 323?

GCD of 468, 990, 314, 323 is 1

2. Where do I get the detailed procedure to find GCD of 468, 990, 314, 323?

You can find a detailed procedure to find GCD of 468, 990, 314, 323 on our page.

3. How to find GCD of 468, 990, 314, 323 on a calculator?

You can find the GCD of 468, 990, 314, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.