GCD of 504, 506, 28, 529 Calculator

Given Input numbers are 504, 506, 28, 529

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

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 506

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

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

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 504, 506, 28, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 506, 28, 529 is 1.

Therefore, GCD of numbers 504, 506, 28, 529 is 1

Given Input Data is 504, 506, 28, 529

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

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 529 is 23 x 23

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(504, 506) = 127512

GCD(504, 506) = ( 504 x 506 ) / 127512

GCD(504, 506) = 255024 / 127512

GCD(504, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 529

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

LCM(2, 529) = 1058

GCD(2, 529) = ( 2 x 529 ) / 1058

GCD(2, 529) = 1058 / 1058

GCD(2, 529) = 1

GCD of 504, 506, 28, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 378, 89, 911
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• GCD of 189, 391, 97, 549

1. What is the GCD of 504, 506, 28, 529?

GCD of 504, 506, 28, 529 is 1

2. Where do I get the detailed procedure to find GCD of 504, 506, 28, 529?

You can find a detailed procedure to find GCD of 504, 506, 28, 529 on our page.

3. How to find GCD of 504, 506, 28, 529 on a calculator?

You can find the GCD of 504, 506, 28, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.