GCD of 339, 531, 257, 185 Calculator

Given Input numbers are 339, 531, 257, 185

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 531

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

1, 3, 9, 59, 177, 531

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 339, 531, 257, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 531, 257, 185 is 1.

Therefore, GCD of numbers 339, 531, 257, 185 is 1

Given Input Data is 339, 531, 257, 185

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

Prime Factorization of 339 is 3 x 113

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 257 is 257

Prime Factorization of 185 is 5 x 37

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(339, 531) = 60003

GCD(339, 531) = ( 339 x 531 ) / 60003

GCD(339, 531) = 180009 / 60003

GCD(339, 531) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 257

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

LCM(3, 257) = 771

GCD(3, 257) = ( 3 x 257 ) / 771

GCD(3, 257) = 771 / 771

GCD(3, 257) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1

GCD of 339, 531, 257, 185 is 1

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1. What is the GCD of 339, 531, 257, 185?

GCD of 339, 531, 257, 185 is 1

2. Where do I get the detailed procedure to find GCD of 339, 531, 257, 185?

You can find a detailed procedure to find GCD of 339, 531, 257, 185 on our page.

3. How to find GCD of 339, 531, 257, 185 on a calculator?

You can find the GCD of 339, 531, 257, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.