GCD of 684, 999, 470 Calculator

Given Input numbers are 684, 999, 470

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

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

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 684, 999, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 999, 470 is 1.

Therefore, GCD of numbers 684, 999, 470 is 1

Given Input Data is 684, 999, 470

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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

Prime Factorization of 470 is 2 x 5 x 47

The above numbers do not have any common prime factor. So GCD is 1

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(684, 999) = 75924

GCD(684, 999) = ( 684 x 999 ) / 75924

GCD(684, 999) = 683316 / 75924

GCD(684, 999) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 470

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

LCM(9, 470) = 4230

GCD(9, 470) = ( 9 x 470 ) / 4230

GCD(9, 470) = 4230 / 4230

GCD(9, 470) = 1

GCD of 684, 999, 470 is 1

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1. What is the GCD of 684, 999, 470?

GCD of 684, 999, 470 is 1

2. Where do I get the detailed procedure to find GCD of 684, 999, 470?

You can find a detailed procedure to find GCD of 684, 999, 470 on our page.

3. How to find GCD of 684, 999, 470 on a calculator?

You can find the GCD of 684, 999, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.