GCD of 234, 369, 586 Calculator

Given Input numbers are 234, 369, 586

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 234, 369, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 369, 586 is 1.

Therefore, GCD of numbers 234, 369, 586 is 1

Given Input Data is 234, 369, 586

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 586 is 2 x 293

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(234, 369) = 9594

GCD(234, 369) = ( 234 x 369 ) / 9594

GCD(234, 369) = 86346 / 9594

GCD(234, 369) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 586

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

LCM(9, 586) = 5274

GCD(9, 586) = ( 9 x 586 ) / 5274

GCD(9, 586) = 5274 / 5274

GCD(9, 586) = 1

GCD of 234, 369, 586 is 1

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1. What is the GCD of 234, 369, 586?

GCD of 234, 369, 586 is 1

2. Where do I get the detailed procedure to find GCD of 234, 369, 586?

You can find a detailed procedure to find GCD of 234, 369, 586 on our page.

3. How to find GCD of 234, 369, 586 on a calculator?

You can find the GCD of 234, 369, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.