GCD of 589, 981, 522, 133 Calculator

Given Input numbers are 589, 981, 522, 133

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

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

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 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 589, 981, 522, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 981, 522, 133 is 1.

Therefore, GCD of numbers 589, 981, 522, 133 is 1

Given Input Data is 589, 981, 522, 133

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 981 is 3 x 3 x 109

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

Prime Factorization of 133 is 7 x 19

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(589, 981) = 577809

GCD(589, 981) = ( 589 x 981 ) / 577809

GCD(589, 981) = 577809 / 577809

GCD(589, 981) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 589, 981, 522, 133 is 1

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1. What is the GCD of 589, 981, 522, 133?

GCD of 589, 981, 522, 133 is 1

2. Where do I get the detailed procedure to find GCD of 589, 981, 522, 133?

You can find a detailed procedure to find GCD of 589, 981, 522, 133 on our page.

3. How to find GCD of 589, 981, 522, 133 on a calculator?

You can find the GCD of 589, 981, 522, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.