GCD of 589, 991, 11, 302 Calculator

Given Input numbers are 589, 991, 11, 302

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 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 589, 991, 11, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 991, 11, 302 is 1.

Therefore, GCD of numbers 589, 991, 11, 302 is 1

Given Input Data is 589, 991, 11, 302

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 991 is 991

Prime Factorization of 11 is 11

Prime Factorization of 302 is 2 x 151

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, 991) = 583699

GCD(589, 991) = ( 589 x 991 ) / 583699

GCD(589, 991) = 583699 / 583699

GCD(589, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 589, 991, 11, 302 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 999, 18, 816
• GCD of 923, 789, 30, 835
• GCD of 588, 660, 15, 255
• GCD of 214, 723, 74, 715
• GCD of 179, 456, 30, 299

1. What is the GCD of 589, 991, 11, 302?

GCD of 589, 991, 11, 302 is 1

2. Where do I get the detailed procedure to find GCD of 589, 991, 11, 302?

You can find a detailed procedure to find GCD of 589, 991, 11, 302 on our page.

3. How to find GCD of 589, 991, 11, 302 on a calculator?

You can find the GCD of 589, 991, 11, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.