GCD of 522, 559, 164 Calculator

Given Input numbers are 522, 559, 164

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 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 522, 559, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 559, 164 is 1.

Therefore, GCD of numbers 522, 559, 164 is 1

Given Input Data is 522, 559, 164

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 559 is 13 x 43

Prime Factorization of 164 is 2 x 2 x 41

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, 559) = 291798

GCD(522, 559) = ( 522 x 559 ) / 291798

GCD(522, 559) = 291798 / 291798

GCD(522, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 522, 559, 164 is 1

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1. What is the GCD of 522, 559, 164?

GCD of 522, 559, 164 is 1

2. Where do I get the detailed procedure to find GCD of 522, 559, 164?

You can find a detailed procedure to find GCD of 522, 559, 164 on our page.

3. How to find GCD of 522, 559, 164 on a calculator?

You can find the GCD of 522, 559, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.