GCD of 522, 585, 491 Calculator

Given Input numbers are 522, 585, 491

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 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 522, 585, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 585, 491 is 1.

Therefore, GCD of numbers 522, 585, 491 is 1

Given Input Data is 522, 585, 491

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 585 is 3 x 3 x 5 x 13

Prime Factorization of 491 is 491

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, 585) = 33930

GCD(522, 585) = ( 522 x 585 ) / 33930

GCD(522, 585) = 305370 / 33930

GCD(522, 585) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 491

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

LCM(9, 491) = 4419

GCD(9, 491) = ( 9 x 491 ) / 4419

GCD(9, 491) = 4419 / 4419

GCD(9, 491) = 1

GCD of 522, 585, 491 is 1

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1. What is the GCD of 522, 585, 491?

GCD of 522, 585, 491 is 1

2. Where do I get the detailed procedure to find GCD of 522, 585, 491?

You can find a detailed procedure to find GCD of 522, 585, 491 on our page.

3. How to find GCD of 522, 585, 491 on a calculator?

You can find the GCD of 522, 585, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.