GCD of 333, 114, 309 Calculator

Given Input numbers are 333, 114, 309

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

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 309

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

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 333, 114, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 114, 309 is 3.

Therefore, GCD of numbers 333, 114, 309 is 3

Given Input Data is 333, 114, 309

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

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 309 is 3 x 103

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(333, 114) = 12654

GCD(333, 114) = ( 333 x 114 ) / 12654

GCD(333, 114) = 37962 / 12654

GCD(333, 114) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 309

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

LCM(3, 309) = 309

GCD(3, 309) = ( 3 x 309 ) / 309

GCD(3, 309) = 927 / 309

GCD(3, 309) = 3

GCD of 333, 114, 309 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 660, 484
• GCD of 336, 190, 188
• GCD of 852, 171, 729
• GCD of 195, 217, 684
• GCD of 629, 304, 274

1. What is the GCD of 333, 114, 309?

GCD of 333, 114, 309 is 3

2. Where do I get the detailed procedure to find GCD of 333, 114, 309?

You can find a detailed procedure to find GCD of 333, 114, 309 on our page.

3. How to find GCD of 333, 114, 309 on a calculator?

You can find the GCD of 333, 114, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.