GCD of 559, 423, 324 Calculator

Given Input numbers are 559, 423, 324

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

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

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 559, 423, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 423, 324 is 1.

Therefore, GCD of numbers 559, 423, 324 is 1

Given Input Data is 559, 423, 324

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 423 is 3 x 3 x 47

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(559, 423) = 236457

GCD(559, 423) = ( 559 x 423 ) / 236457

GCD(559, 423) = 236457 / 236457

GCD(559, 423) = 1

Step2:

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 559, 423, 324 is 1

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1. What is the GCD of 559, 423, 324?

GCD of 559, 423, 324 is 1

2. Where do I get the detailed procedure to find GCD of 559, 423, 324?

You can find a detailed procedure to find GCD of 559, 423, 324 on our page.

3. How to find GCD of 559, 423, 324 on a calculator?

You can find the GCD of 559, 423, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.