GCD of 231, 594, 37, 324 Calculator

Given Input numbers are 231, 594, 37, 324

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 231, 594, 37, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 594, 37, 324 is 1.

Therefore, GCD of numbers 231, 594, 37, 324 is 1

Given Input Data is 231, 594, 37, 324

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 37 is 37

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(231, 594) = 4158

GCD(231, 594) = ( 231 x 594 ) / 4158

GCD(231, 594) = 137214 / 4158

GCD(231, 594) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 37

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

LCM(33, 37) = 1221

GCD(33, 37) = ( 33 x 37 ) / 1221

GCD(33, 37) = 1221 / 1221

GCD(33, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 231, 594, 37, 324 is 1

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1. What is the GCD of 231, 594, 37, 324?

GCD of 231, 594, 37, 324 is 1

2. Where do I get the detailed procedure to find GCD of 231, 594, 37, 324?

You can find a detailed procedure to find GCD of 231, 594, 37, 324 on our page.

3. How to find GCD of 231, 594, 37, 324 on a calculator?

You can find the GCD of 231, 594, 37, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.