GCD of 684, 606, 780, 999 Calculator

Given Input numbers are 684, 606, 780, 999

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 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 684, 606, 780, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 606, 780, 999 is 3.

Therefore, GCD of numbers 684, 606, 780, 999 is 3

Given Input Data is 684, 606, 780, 999

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 606 is 2 x 3 x 101

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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

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(684, 606) = 69084

GCD(684, 606) = ( 684 x 606 ) / 69084

GCD(684, 606) = 414504 / 69084

GCD(684, 606) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 780

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

LCM(6, 780) = 780

GCD(6, 780) = ( 6 x 780 ) / 780

GCD(6, 780) = 4680 / 780

GCD(6, 780) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 999

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

LCM(6, 999) = 1998

GCD(6, 999) = ( 6 x 999 ) / 1998

GCD(6, 999) = 5994 / 1998

GCD(6, 999) = 3

GCD of 684, 606, 780, 999 is 3

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1. What is the GCD of 684, 606, 780, 999?

GCD of 684, 606, 780, 999 is 3

2. Where do I get the detailed procedure to find GCD of 684, 606, 780, 999?

You can find a detailed procedure to find GCD of 684, 606, 780, 999 on our page.

3. How to find GCD of 684, 606, 780, 999 on a calculator?

You can find the GCD of 684, 606, 780, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.