GCD of 243, 192, 789 Calculator

Given Input numbers are 243, 192, 789

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 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 243, 192, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 192, 789 is 3.

Therefore, GCD of numbers 243, 192, 789 is 3

Given Input Data is 243, 192, 789

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 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 789 is 3 x 263

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 192) = 15552

GCD(243, 192) = ( 243 x 192 ) / 15552

GCD(243, 192) = 46656 / 15552

GCD(243, 192) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 789

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

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

GCD(3, 789) = 2367 / 789

GCD(3, 789) = 3

GCD of 243, 192, 789 is 3

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1. What is the GCD of 243, 192, 789?

GCD of 243, 192, 789 is 3

2. Where do I get the detailed procedure to find GCD of 243, 192, 789?

You can find a detailed procedure to find GCD of 243, 192, 789 on our page.

3. How to find GCD of 243, 192, 789 on a calculator?

You can find the GCD of 243, 192, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.