GCD of 572, 506, 444, 508 Calculator

Given Input numbers are 572, 506, 444, 508

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

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 572, 506, 444, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 506, 444, 508 is 2.

Therefore, GCD of numbers 572, 506, 444, 508 is 2

Given Input Data is 572, 506, 444, 508

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 508 is 2 x 2 x 127

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(572, 506) = 13156

GCD(572, 506) = ( 572 x 506 ) / 13156

GCD(572, 506) = 289432 / 13156

GCD(572, 506) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 444

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

LCM(22, 444) = 4884

GCD(22, 444) = ( 22 x 444 ) / 4884

GCD(22, 444) = 9768 / 4884

GCD(22, 444) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

GCD of 572, 506, 444, 508 is 2

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1. What is the GCD of 572, 506, 444, 508?

GCD of 572, 506, 444, 508 is 2

2. Where do I get the detailed procedure to find GCD of 572, 506, 444, 508?

You can find a detailed procedure to find GCD of 572, 506, 444, 508 on our page.

3. How to find GCD of 572, 506, 444, 508 on a calculator?

You can find the GCD of 572, 506, 444, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.