GCD of 559, 239, 58, 312 Calculator

Given Input numbers are 559, 239, 58, 312

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 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 559, 239, 58, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 239, 58, 312 is 1.

Therefore, GCD of numbers 559, 239, 58, 312 is 1

Given Input Data is 559, 239, 58, 312

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 239 is 239

Prime Factorization of 58 is 2 x 29

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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, 239) = 133601

GCD(559, 239) = ( 559 x 239 ) / 133601

GCD(559, 239) = 133601 / 133601

GCD(559, 239) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 559, 239, 58, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 139, 25, 553
• GCD of 794, 230, 22, 581
• GCD of 634, 132, 24, 240
• GCD of 835, 420, 31, 893
• GCD of 522, 136, 15, 300

1. What is the GCD of 559, 239, 58, 312?

GCD of 559, 239, 58, 312 is 1

2. Where do I get the detailed procedure to find GCD of 559, 239, 58, 312?

You can find a detailed procedure to find GCD of 559, 239, 58, 312 on our page.

3. How to find GCD of 559, 239, 58, 312 on a calculator?

You can find the GCD of 559, 239, 58, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.