GCD of 663, 231, 684 Calculator

Given Input numbers are 663, 231, 684

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

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 663, 231, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 231, 684 is 3.

Therefore, GCD of numbers 663, 231, 684 is 3

Given Input Data is 663, 231, 684

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 684 is 2 x 2 x 3 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(663, 231) = 51051

GCD(663, 231) = ( 663 x 231 ) / 51051

GCD(663, 231) = 153153 / 51051

GCD(663, 231) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 684

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

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

GCD(3, 684) = 2052 / 684

GCD(3, 684) = 3

GCD of 663, 231, 684 is 3

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1. What is the GCD of 663, 231, 684?

GCD of 663, 231, 684 is 3

2. Where do I get the detailed procedure to find GCD of 663, 231, 684?

You can find a detailed procedure to find GCD of 663, 231, 684 on our page.

3. How to find GCD of 663, 231, 684 on a calculator?

You can find the GCD of 663, 231, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.