GCD of 259, 531, 231, 424 Calculator

Given Input numbers are 259, 531, 231, 424

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 531

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

1, 3, 9, 59, 177, 531

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 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 259, 531, 231, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 531, 231, 424 is 1.

Therefore, GCD of numbers 259, 531, 231, 424 is 1

Given Input Data is 259, 531, 231, 424

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(259, 531) = 137529

GCD(259, 531) = ( 259 x 531 ) / 137529

GCD(259, 531) = 137529 / 137529

GCD(259, 531) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 259, 531, 231, 424 is 1

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1. What is the GCD of 259, 531, 231, 424?

GCD of 259, 531, 231, 424 is 1

2. Where do I get the detailed procedure to find GCD of 259, 531, 231, 424?

You can find a detailed procedure to find GCD of 259, 531, 231, 424 on our page.

3. How to find GCD of 259, 531, 231, 424 on a calculator?

You can find the GCD of 259, 531, 231, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.