GCD of 559, 586, 504, 556 Calculator

Given Input numbers are 559, 586, 504, 556

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 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 559, 586, 504, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 586, 504, 556 is 1.

Therefore, GCD of numbers 559, 586, 504, 556 is 1

Given Input Data is 559, 586, 504, 556

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 586 is 2 x 293

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 556 is 2 x 2 x 139

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, 586) = 327574

GCD(559, 586) = ( 559 x 586 ) / 327574

GCD(559, 586) = 327574 / 327574

GCD(559, 586) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 559, 586, 504, 556 is 1

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1. What is the GCD of 559, 586, 504, 556?

GCD of 559, 586, 504, 556 is 1

2. Where do I get the detailed procedure to find GCD of 559, 586, 504, 556?

You can find a detailed procedure to find GCD of 559, 586, 504, 556 on our page.

3. How to find GCD of 559, 586, 504, 556 on a calculator?

You can find the GCD of 559, 586, 504, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.