GCD of 108, 894, 227, 318 Calculator

Given Input numbers are 108, 894, 227, 318

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 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 108, 894, 227, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 894, 227, 318 is 1.

Therefore, GCD of numbers 108, 894, 227, 318 is 1

Given Input Data is 108, 894, 227, 318

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 894 is 2 x 3 x 149

Prime Factorization of 227 is 227

Prime Factorization of 318 is 2 x 3 x 53

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, 894) = 16092

GCD(108, 894) = ( 108 x 894 ) / 16092

GCD(108, 894) = 96552 / 16092

GCD(108, 894) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 227

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

LCM(6, 227) = 1362

GCD(6, 227) = ( 6 x 227 ) / 1362

GCD(6, 227) = 1362 / 1362

GCD(6, 227) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 108, 894, 227, 318 is 1

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1. What is the GCD of 108, 894, 227, 318?

GCD of 108, 894, 227, 318 is 1

2. Where do I get the detailed procedure to find GCD of 108, 894, 227, 318?

You can find a detailed procedure to find GCD of 108, 894, 227, 318 on our page.

3. How to find GCD of 108, 894, 227, 318 on a calculator?

You can find the GCD of 108, 894, 227, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.