GCD of 564, 556, 939, 814 Calculator

Given Input numbers are 564, 556, 939, 814

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 556

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

1, 2, 4, 139, 278, 556

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 564, 556, 939, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 556, 939, 814 is 1.

Therefore, GCD of numbers 564, 556, 939, 814 is 1

Given Input Data is 564, 556, 939, 814

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 939 is 3 x 313

Prime Factorization of 814 is 2 x 11 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(564, 556) = 78396

GCD(564, 556) = ( 564 x 556 ) / 78396

GCD(564, 556) = 313584 / 78396

GCD(564, 556) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 939

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

LCM(4, 939) = 3756

GCD(4, 939) = ( 4 x 939 ) / 3756

GCD(4, 939) = 3756 / 3756

GCD(4, 939) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 564, 556, 939, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 352, 316, 936
• GCD of 545, 310, 337, 627
• GCD of 649, 407, 205, 808
• GCD of 215, 290, 905, 729
• GCD of 487, 201, 474, 354

1. What is the GCD of 564, 556, 939, 814?

GCD of 564, 556, 939, 814 is 1

2. Where do I get the detailed procedure to find GCD of 564, 556, 939, 814?

You can find a detailed procedure to find GCD of 564, 556, 939, 814 on our page.

3. How to find GCD of 564, 556, 939, 814 on a calculator?

You can find the GCD of 564, 556, 939, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.