GCD of 999, 486, 291, 804 Calculator

Given Input numbers are 999, 486, 291, 804

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

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

Greatest Common Divisior

We found the divisors of 999, 486, 291, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 486, 291, 804 is 3.

Therefore, GCD of numbers 999, 486, 291, 804 is 3

Given Input Data is 999, 486, 291, 804

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 291 is 3 x 97

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

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(999, 486) = 17982

GCD(999, 486) = ( 999 x 486 ) / 17982

GCD(999, 486) = 485514 / 17982

GCD(999, 486) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 291

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

LCM(27, 291) = 2619

GCD(27, 291) = ( 27 x 291 ) / 2619

GCD(27, 291) = 7857 / 2619

GCD(27, 291) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 804

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

LCM(3, 804) = 804

GCD(3, 804) = ( 3 x 804 ) / 804

GCD(3, 804) = 2412 / 804

GCD(3, 804) = 3

GCD of 999, 486, 291, 804 is 3

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1. What is the GCD of 999, 486, 291, 804?

GCD of 999, 486, 291, 804 is 3

2. Where do I get the detailed procedure to find GCD of 999, 486, 291, 804?

You can find a detailed procedure to find GCD of 999, 486, 291, 804 on our page.

3. How to find GCD of 999, 486, 291, 804 on a calculator?

You can find the GCD of 999, 486, 291, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.