GCD of 108, 819, 93, 216 Calculator

Given Input numbers are 108, 819, 93, 216

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

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

Greatest Common Divisior

We found the divisors of 108, 819, 93, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 819, 93, 216 is 3.

Therefore, GCD of numbers 108, 819, 93, 216 is 3

Given Input Data is 108, 819, 93, 216

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 93 is 3 x 31

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

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(108, 819) = 9828

GCD(108, 819) = ( 108 x 819 ) / 9828

GCD(108, 819) = 88452 / 9828

GCD(108, 819) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 93

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

LCM(9, 93) = 279

GCD(9, 93) = ( 9 x 93 ) / 279

GCD(9, 93) = 837 / 279

GCD(9, 93) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 216

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

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

GCD(3, 216) = 648 / 216

GCD(3, 216) = 3

GCD of 108, 819, 93, 216 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 124, 60, 738
• GCD of 213, 108, 34, 920
• GCD of 381, 396, 95, 242
• GCD of 668, 875, 25, 238
• GCD of 609, 466, 31, 640

1. What is the GCD of 108, 819, 93, 216?

GCD of 108, 819, 93, 216 is 3

2. Where do I get the detailed procedure to find GCD of 108, 819, 93, 216?

You can find a detailed procedure to find GCD of 108, 819, 93, 216 on our page.

3. How to find GCD of 108, 819, 93, 216 on a calculator?

You can find the GCD of 108, 819, 93, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.