GCD of 216, 684, 728, 406 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 216, 684, 728, 406 i.e. 2 largest integer that divides all the numbers equally.

GCD of 216, 684, 728, 406 is 2

GCD(216, 684, 728, 406) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 216, 684, 728, 406 is 2

GCD(216, 684, 728, 406) = 2

GCD of 216,684,728,406 Calculator

GCDof 216,684,728,406 is 2

Given Input numbers are 216, 684, 728, 406

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 216, 684, 728, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 684, 728, 406 is 2.

Therefore, GCD of numbers 216, 684, 728, 406 is 2

Finding GCD of 216, 684, 728, 406 using Prime Factorization

Given Input Data is 216, 684, 728, 406

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 406 is 2 x 7 x 29

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 216, 684, 728, 406 using LCM Formula

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(216, 684) = 4104

GCD(216, 684) = ( 216 x 684 ) / 4104

GCD(216, 684) = 147744 / 4104

GCD(216, 684) = 36


Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 728

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

LCM(36, 728) = 6552

GCD(36, 728) = ( 36 x 728 ) / 6552

GCD(36, 728) = 26208 / 6552

GCD(36, 728) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 406

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

LCM(4, 406) = 812

GCD(4, 406) = ( 4 x 406 ) / 812

GCD(4, 406) = 1624 / 812

GCD(4, 406) = 2

GCD of 216, 684, 728, 406 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 216, 684, 728, 406

1. What is the GCD of 216, 684, 728, 406?

GCD of 216, 684, 728, 406 is 2


2. Where do I get the detailed procedure to find GCD of 216, 684, 728, 406?

You can find a detailed procedure to find GCD of 216, 684, 728, 406 on our page.


3. How to find GCD of 216, 684, 728, 406 on a calculator?

You can find the GCD of 216, 684, 728, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.