GCD of 243, 312, 206 Calculator

Given Input numbers are 243, 312, 206

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 243, 312, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 312, 206 is 1.

Therefore, GCD of numbers 243, 312, 206 is 1

Given Input Data is 243, 312, 206

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 206 is 2 x 103

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(243, 312) = 25272

GCD(243, 312) = ( 243 x 312 ) / 25272

GCD(243, 312) = 75816 / 25272

GCD(243, 312) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 206

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

LCM(3, 206) = 618

GCD(3, 206) = ( 3 x 206 ) / 618

GCD(3, 206) = 618 / 618

GCD(3, 206) = 1

GCD of 243, 312, 206 is 1

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1. What is the GCD of 243, 312, 206?

GCD of 243, 312, 206 is 1

2. Where do I get the detailed procedure to find GCD of 243, 312, 206?

You can find a detailed procedure to find GCD of 243, 312, 206 on our page.

3. How to find GCD of 243, 312, 206 on a calculator?

You can find the GCD of 243, 312, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.