GCD of 204, 452, 792 Calculator

Given Input numbers are 204, 452, 792

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

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 204, 452, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 452, 792 is 4.

Therefore, GCD of numbers 204, 452, 792 is 4

Given Input Data is 204, 452, 792

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 452 is 2 x 2 x 113

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(204, 452) = 23052

GCD(204, 452) = ( 204 x 452 ) / 23052

GCD(204, 452) = 92208 / 23052

GCD(204, 452) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 792

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

LCM(4, 792) = 792

GCD(4, 792) = ( 4 x 792 ) / 792

GCD(4, 792) = 3168 / 792

GCD(4, 792) = 4

GCD of 204, 452, 792 is 4

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1. What is the GCD of 204, 452, 792?

GCD of 204, 452, 792 is 4

2. Where do I get the detailed procedure to find GCD of 204, 452, 792?

You can find a detailed procedure to find GCD of 204, 452, 792 on our page.

3. How to find GCD of 204, 452, 792 on a calculator?

You can find the GCD of 204, 452, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.