GCD of 339, 432, 531 Calculator

Given Input numbers are 339, 432, 531

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

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Greatest Common Divisior

We found the divisors of 339, 432, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 432, 531 is 3.

Therefore, GCD of numbers 339, 432, 531 is 3

Given Input Data is 339, 432, 531

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

Prime Factorization of 339 is 3 x 113

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 531 is 3 x 3 x 59

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(339, 432) = 48816

GCD(339, 432) = ( 339 x 432 ) / 48816

GCD(339, 432) = 146448 / 48816

GCD(339, 432) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 531

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

LCM(3, 531) = 531

GCD(3, 531) = ( 3 x 531 ) / 531

GCD(3, 531) = 1593 / 531

GCD(3, 531) = 3

GCD of 339, 432, 531 is 3

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1. What is the GCD of 339, 432, 531?

GCD of 339, 432, 531 is 3

2. Where do I get the detailed procedure to find GCD of 339, 432, 531?

You can find a detailed procedure to find GCD of 339, 432, 531 on our page.

3. How to find GCD of 339, 432, 531 on a calculator?

You can find the GCD of 339, 432, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.