GCD of 321, 114, 90, 317 Calculator

Given Input numbers are 321, 114, 90, 317

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 321, 114, 90, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 114, 90, 317 is 1.

Therefore, GCD of numbers 321, 114, 90, 317 is 1

Given Input Data is 321, 114, 90, 317

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 317 is 317

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(321, 114) = 12198

GCD(321, 114) = ( 321 x 114 ) / 12198

GCD(321, 114) = 36594 / 12198

GCD(321, 114) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 317

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

LCM(3, 317) = 951

GCD(3, 317) = ( 3 x 317 ) / 951

GCD(3, 317) = 951 / 951

GCD(3, 317) = 1

GCD of 321, 114, 90, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 659, 77, 828
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• GCD of 836, 466, 37, 523

1. What is the GCD of 321, 114, 90, 317?

GCD of 321, 114, 90, 317 is 1

2. Where do I get the detailed procedure to find GCD of 321, 114, 90, 317?

You can find a detailed procedure to find GCD of 321, 114, 90, 317 on our page.

3. How to find GCD of 321, 114, 90, 317 on a calculator?

You can find the GCD of 321, 114, 90, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.