GCD of 252, 594, 522, 916 Calculator

Given Input numbers are 252, 594, 522, 916

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 252, 594, 522, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 594, 522, 916 is 2.

Therefore, GCD of numbers 252, 594, 522, 916 is 2

Given Input Data is 252, 594, 522, 916

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 916 is 2 x 2 x 229

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(252, 594) = 8316

GCD(252, 594) = ( 252 x 594 ) / 8316

GCD(252, 594) = 149688 / 8316

GCD(252, 594) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 522

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

LCM(18, 522) = 522

GCD(18, 522) = ( 18 x 522 ) / 522

GCD(18, 522) = 9396 / 522

GCD(18, 522) = 18

Step3:

Here we consider the GCD from the above i.e. 18 as first number and the next as 916

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

LCM(18, 916) = 8244

GCD(18, 916) = ( 18 x 916 ) / 8244

GCD(18, 916) = 16488 / 8244

GCD(18, 916) = 2

GCD of 252, 594, 522, 916 is 2

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1. What is the GCD of 252, 594, 522, 916?

GCD of 252, 594, 522, 916 is 2

2. Where do I get the detailed procedure to find GCD of 252, 594, 522, 916?

You can find a detailed procedure to find GCD of 252, 594, 522, 916 on our page.

3. How to find GCD of 252, 594, 522, 916 on a calculator?

You can find the GCD of 252, 594, 522, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.