GCD of 804, 483, 912 Calculator

Given Input numbers are 804, 483, 912

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Greatest Common Divisior

We found the divisors of 804, 483, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 483, 912 is 3.

Therefore, GCD of numbers 804, 483, 912 is 3

Given Input Data is 804, 483, 912

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

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(804, 483) = 129444

GCD(804, 483) = ( 804 x 483 ) / 129444

GCD(804, 483) = 388332 / 129444

GCD(804, 483) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 912

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

LCM(3, 912) = 912

GCD(3, 912) = ( 3 x 912 ) / 912

GCD(3, 912) = 2736 / 912

GCD(3, 912) = 3

GCD of 804, 483, 912 is 3

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1. What is the GCD of 804, 483, 912?

GCD of 804, 483, 912 is 3

2. Where do I get the detailed procedure to find GCD of 804, 483, 912?

You can find a detailed procedure to find GCD of 804, 483, 912 on our page.

3. How to find GCD of 804, 483, 912 on a calculator?

You can find the GCD of 804, 483, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.