GCD of 309, 303, 816 Calculator

Given Input numbers are 309, 303, 816

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Greatest Common Divisior

We found the divisors of 309, 303, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 303, 816 is 3.

Therefore, GCD of numbers 309, 303, 816 is 3

Given Input Data is 309, 303, 816

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 303 is 3 x 101

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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(309, 303) = 31209

GCD(309, 303) = ( 309 x 303 ) / 31209

GCD(309, 303) = 93627 / 31209

GCD(309, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 816

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

LCM(3, 816) = 816

GCD(3, 816) = ( 3 x 816 ) / 816

GCD(3, 816) = 2448 / 816

GCD(3, 816) = 3

GCD of 309, 303, 816 is 3

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• GCD of 456, 420, 182
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1. What is the GCD of 309, 303, 816?

GCD of 309, 303, 816 is 3

2. Where do I get the detailed procedure to find GCD of 309, 303, 816?

You can find a detailed procedure to find GCD of 309, 303, 816 on our page.

3. How to find GCD of 309, 303, 816 on a calculator?

You can find the GCD of 309, 303, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.