GCD of 284, 522, 242, 636 Calculator

Given Input numbers are 284, 522, 242, 636

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 284, 522, 242, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 522, 242, 636 is 2.

Therefore, GCD of numbers 284, 522, 242, 636 is 2

Given Input Data is 284, 522, 242, 636

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

Prime Factorization of 284 is 2 x 2 x 71

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 636 is 2 x 2 x 3 x 53

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(284, 522) = 74124

GCD(284, 522) = ( 284 x 522 ) / 74124

GCD(284, 522) = 148248 / 74124

GCD(284, 522) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 242

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

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

GCD(2, 242) = 484 / 242

GCD(2, 242) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 636

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

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

GCD(2, 636) = 1272 / 636

GCD(2, 636) = 2

GCD of 284, 522, 242, 636 is 2

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1. What is the GCD of 284, 522, 242, 636?

GCD of 284, 522, 242, 636 is 2

2. Where do I get the detailed procedure to find GCD of 284, 522, 242, 636?

You can find a detailed procedure to find GCD of 284, 522, 242, 636 on our page.

3. How to find GCD of 284, 522, 242, 636 on a calculator?

You can find the GCD of 284, 522, 242, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.