GCD of 342, 809, 231 Calculator

Given Input numbers are 342, 809, 231

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 342, 809, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 809, 231 is 1.

Therefore, GCD of numbers 342, 809, 231 is 1

Given Input Data is 342, 809, 231

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 809 is 809

Prime Factorization of 231 is 3 x 7 x 11

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(342, 809) = 276678

GCD(342, 809) = ( 342 x 809 ) / 276678

GCD(342, 809) = 276678 / 276678

GCD(342, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 342, 809, 231 is 1

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1. What is the GCD of 342, 809, 231?

GCD of 342, 809, 231 is 1

2. Where do I get the detailed procedure to find GCD of 342, 809, 231?

You can find a detailed procedure to find GCD of 342, 809, 231 on our page.

3. How to find GCD of 342, 809, 231 on a calculator?

You can find the GCD of 342, 809, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.