GCD of 225, 321, 792 Calculator

Given Input numbers are 225, 321, 792

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 225, 321, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 321, 792 is 3.

Therefore, GCD of numbers 225, 321, 792 is 3

Given Input Data is 225, 321, 792

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 321 is 3 x 107

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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(225, 321) = 24075

GCD(225, 321) = ( 225 x 321 ) / 24075

GCD(225, 321) = 72225 / 24075

GCD(225, 321) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 792

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

LCM(3, 792) = 792

GCD(3, 792) = ( 3 x 792 ) / 792

GCD(3, 792) = 2376 / 792

GCD(3, 792) = 3

GCD of 225, 321, 792 is 3

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1. What is the GCD of 225, 321, 792?

GCD of 225, 321, 792 is 3

2. Where do I get the detailed procedure to find GCD of 225, 321, 792?

You can find a detailed procedure to find GCD of 225, 321, 792 on our page.

3. How to find GCD of 225, 321, 792 on a calculator?

You can find the GCD of 225, 321, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.