GCD of 852, 524, 317, 589 Calculator

Given Input numbers are 852, 524, 317, 589

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 589

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

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 852, 524, 317, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 524, 317, 589 is 1.

Therefore, GCD of numbers 852, 524, 317, 589 is 1

Given Input Data is 852, 524, 317, 589

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 317 is 317

Prime Factorization of 589 is 19 x 31

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(852, 524) = 111612

GCD(852, 524) = ( 852 x 524 ) / 111612

GCD(852, 524) = 446448 / 111612

GCD(852, 524) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 317

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

LCM(4, 317) = 1268

GCD(4, 317) = ( 4 x 317 ) / 1268

GCD(4, 317) = 1268 / 1268

GCD(4, 317) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 852, 524, 317, 589 is 1

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1. What is the GCD of 852, 524, 317, 589?

GCD of 852, 524, 317, 589 is 1

2. Where do I get the detailed procedure to find GCD of 852, 524, 317, 589?

You can find a detailed procedure to find GCD of 852, 524, 317, 589 on our page.

3. How to find GCD of 852, 524, 317, 589 on a calculator?

You can find the GCD of 852, 524, 317, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.