GCD of 522, 990, 520, 599 Calculator

Given Input numbers are 522, 990, 520, 599

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

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Greatest Common Divisior

We found the divisors of 522, 990, 520, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 990, 520, 599 is 1.

Therefore, GCD of numbers 522, 990, 520, 599 is 1

Given Input Data is 522, 990, 520, 599

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

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 599 is 599

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(522, 990) = 28710

GCD(522, 990) = ( 522 x 990 ) / 28710

GCD(522, 990) = 516780 / 28710

GCD(522, 990) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 520

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

LCM(18, 520) = 4680

GCD(18, 520) = ( 18 x 520 ) / 4680

GCD(18, 520) = 9360 / 4680

GCD(18, 520) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 599

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

LCM(2, 599) = 1198

GCD(2, 599) = ( 2 x 599 ) / 1198

GCD(2, 599) = 1198 / 1198

GCD(2, 599) = 1

GCD of 522, 990, 520, 599 is 1

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1. What is the GCD of 522, 990, 520, 599?

GCD of 522, 990, 520, 599 is 1

2. Where do I get the detailed procedure to find GCD of 522, 990, 520, 599?

You can find a detailed procedure to find GCD of 522, 990, 520, 599 on our page.

3. How to find GCD of 522, 990, 520, 599 on a calculator?

You can find the GCD of 522, 990, 520, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.