GCD of 89, 540, 317, 394 Calculator

Given Input numbers are 89, 540, 317, 394

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 317

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

1, 317

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 89, 540, 317, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 540, 317, 394 is 1.

Therefore, GCD of numbers 89, 540, 317, 394 is 1

Given Input Data is 89, 540, 317, 394

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

Prime Factorization of 89 is 89

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 317 is 317

Prime Factorization of 394 is 2 x 197

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(89, 540) = 48060

GCD(89, 540) = ( 89 x 540 ) / 48060

GCD(89, 540) = 48060 / 48060

GCD(89, 540) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

GCD of 89, 540, 317, 394 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 490, 184, 767
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• GCD of 34, 955, 633, 599

1. What is the GCD of 89, 540, 317, 394?

GCD of 89, 540, 317, 394 is 1

2. Where do I get the detailed procedure to find GCD of 89, 540, 317, 394?

You can find a detailed procedure to find GCD of 89, 540, 317, 394 on our page.

3. How to find GCD of 89, 540, 317, 394 on a calculator?

You can find the GCD of 89, 540, 317, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.