GCD of 247, 364, 589 Calculator

Given Input numbers are 247, 364, 589

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

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 247, 364, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 247, 364, 589 is 1.

Therefore, GCD of numbers 247, 364, 589 is 1

Given Input Data is 247, 364, 589

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

Prime Factorization of 247 is 13 x 19

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(247, 364) = 6916

GCD(247, 364) = ( 247 x 364 ) / 6916

GCD(247, 364) = 89908 / 6916

GCD(247, 364) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 589

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

LCM(13, 589) = 7657

GCD(13, 589) = ( 13 x 589 ) / 7657

GCD(13, 589) = 7657 / 7657

GCD(13, 589) = 1

GCD of 247, 364, 589 is 1

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1. What is the GCD of 247, 364, 589?

GCD of 247, 364, 589 is 1

2. Where do I get the detailed procedure to find GCD of 247, 364, 589?

You can find a detailed procedure to find GCD of 247, 364, 589 on our page.

3. How to find GCD of 247, 364, 589 on a calculator?

You can find the GCD of 247, 364, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.