GCD of 589, 389, 65, 108 Calculator

Given Input numbers are 589, 389, 65, 108

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 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 589, 389, 65, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 389, 65, 108 is 1.

Therefore, GCD of numbers 589, 389, 65, 108 is 1

Given Input Data is 589, 389, 65, 108

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 389 is 389

Prime Factorization of 65 is 5 x 13

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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, 389) = 229121

GCD(589, 389) = ( 589 x 389 ) / 229121

GCD(589, 389) = 229121 / 229121

GCD(589, 389) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 589, 389, 65, 108 is 1

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• GCD of 335, 407, 28, 829
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1. What is the GCD of 589, 389, 65, 108?

GCD of 589, 389, 65, 108 is 1

2. Where do I get the detailed procedure to find GCD of 589, 389, 65, 108?

You can find a detailed procedure to find GCD of 589, 389, 65, 108 on our page.

3. How to find GCD of 589, 389, 65, 108 on a calculator?

You can find the GCD of 589, 389, 65, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.