GCD of 108, 918, 395 Calculator

Given Input numbers are 108, 918, 395

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 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 108, 918, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 918, 395 is 1.

Therefore, GCD of numbers 108, 918, 395 is 1

Given Input Data is 108, 918, 395

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 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 395 is 5 x 79

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(108, 918) = 1836

GCD(108, 918) = ( 108 x 918 ) / 1836

GCD(108, 918) = 99144 / 1836

GCD(108, 918) = 54

Step2:

Here we consider the GCD from the above i.e. 54 as first number and the next as 395

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

LCM(54, 395) = 21330

GCD(54, 395) = ( 54 x 395 ) / 21330

GCD(54, 395) = 21330 / 21330

GCD(54, 395) = 1

GCD of 108, 918, 395 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 681, 472
• GCD of 800, 201, 857
• GCD of 169, 752, 486
• GCD of 970, 191, 915
• GCD of 873, 632, 700

1. What is the GCD of 108, 918, 395?

GCD of 108, 918, 395 is 1

2. Where do I get the detailed procedure to find GCD of 108, 918, 395?

You can find a detailed procedure to find GCD of 108, 918, 395 on our page.

3. How to find GCD of 108, 918, 395 on a calculator?

You can find the GCD of 108, 918, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.