GCD of 591, 564, 28, 774 Calculator

Given Input numbers are 591, 564, 28, 774

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

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

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 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 591, 564, 28, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 564, 28, 774 is 1.

Therefore, GCD of numbers 591, 564, 28, 774 is 1

Given Input Data is 591, 564, 28, 774

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

Prime Factorization of 591 is 3 x 197

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(591, 564) = 111108

GCD(591, 564) = ( 591 x 564 ) / 111108

GCD(591, 564) = 333324 / 111108

GCD(591, 564) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 28

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

LCM(3, 28) = 84

GCD(3, 28) = ( 3 x 28 ) / 84

GCD(3, 28) = 84 / 84

GCD(3, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 591, 564, 28, 774 is 1

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• GCD of 530, 547, 70, 897
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1. What is the GCD of 591, 564, 28, 774?

GCD of 591, 564, 28, 774 is 1

2. Where do I get the detailed procedure to find GCD of 591, 564, 28, 774?

You can find a detailed procedure to find GCD of 591, 564, 28, 774 on our page.

3. How to find GCD of 591, 564, 28, 774 on a calculator?

You can find the GCD of 591, 564, 28, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.