GCD of 894, 221, 108 Calculator

Given Input numbers are 894, 221, 108

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

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 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

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

Greatest Common Divisior

We found the divisors of 894, 221, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 221, 108 is 1.

Therefore, GCD of numbers 894, 221, 108 is 1

Given Input Data is 894, 221, 108

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 221 is 13 x 17

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

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(894, 221) = 197574

GCD(894, 221) = ( 894 x 221 ) / 197574

GCD(894, 221) = 197574 / 197574

GCD(894, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 894, 221, 108 is 1

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1. What is the GCD of 894, 221, 108?

GCD of 894, 221, 108 is 1

2. Where do I get the detailed procedure to find GCD of 894, 221, 108?

You can find a detailed procedure to find GCD of 894, 221, 108 on our page.

3. How to find GCD of 894, 221, 108 on a calculator?

You can find the GCD of 894, 221, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.