GCD of 564, 538, 259, 927 Calculator

Given Input numbers are 564, 538, 259, 927

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 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Greatest Common Divisior

We found the divisors of 564, 538, 259, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 538, 259, 927 is 1.

Therefore, GCD of numbers 564, 538, 259, 927 is 1

Given Input Data is 564, 538, 259, 927

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 538 is 2 x 269

Prime Factorization of 259 is 7 x 37

Prime Factorization of 927 is 3 x 3 x 103

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, 538) = 151716

GCD(564, 538) = ( 564 x 538 ) / 151716

GCD(564, 538) = 303432 / 151716

GCD(564, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 259

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

LCM(2, 259) = 518

GCD(2, 259) = ( 2 x 259 ) / 518

GCD(2, 259) = 518 / 518

GCD(2, 259) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 927

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

LCM(1, 927) = 927

GCD(1, 927) = ( 1 x 927 ) / 927

GCD(1, 927) = 927 / 927

GCD(1, 927) = 1

GCD of 564, 538, 259, 927 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 458, 313, 350
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• GCD of 764, 246, 541, 251
• GCD of 990, 649, 445, 311
• GCD of 370, 552, 172, 465

1. What is the GCD of 564, 538, 259, 927?

GCD of 564, 538, 259, 927 is 1

2. Where do I get the detailed procedure to find GCD of 564, 538, 259, 927?

You can find a detailed procedure to find GCD of 564, 538, 259, 927 on our page.

3. How to find GCD of 564, 538, 259, 927 on a calculator?

You can find the GCD of 564, 538, 259, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.