GCD of 306, 996, 904 Calculator

Given Input numbers are 306, 996, 904

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 306, 996, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 996, 904 is 2.

Therefore, GCD of numbers 306, 996, 904 is 2

Given Input Data is 306, 996, 904

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 904 is 2 x 2 x 2 x 113

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(306, 996) = 50796

GCD(306, 996) = ( 306 x 996 ) / 50796

GCD(306, 996) = 304776 / 50796

GCD(306, 996) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 904

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

LCM(6, 904) = 2712

GCD(6, 904) = ( 6 x 904 ) / 2712

GCD(6, 904) = 5424 / 2712

GCD(6, 904) = 2

GCD of 306, 996, 904 is 2

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1. What is the GCD of 306, 996, 904?

GCD of 306, 996, 904 is 2

2. Where do I get the detailed procedure to find GCD of 306, 996, 904?

You can find a detailed procedure to find GCD of 306, 996, 904 on our page.

3. How to find GCD of 306, 996, 904 on a calculator?

You can find the GCD of 306, 996, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.