GCD of 387, 894, 14 Calculator

Given Input numbers are 387, 894, 14

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 387, 894, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 894, 14 is 1.

Therefore, GCD of numbers 387, 894, 14 is 1

Given Input Data is 387, 894, 14

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 14 is 2 x 7

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(387, 894) = 115326

GCD(387, 894) = ( 387 x 894 ) / 115326

GCD(387, 894) = 345978 / 115326

GCD(387, 894) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1

GCD of 387, 894, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 892, 29
• GCD of 137, 402, 10
• GCD of 829, 221, 42
• GCD of 815, 593, 47
• GCD of 728, 431, 52

1. What is the GCD of 387, 894, 14?

GCD of 387, 894, 14 is 1

2. Where do I get the detailed procedure to find GCD of 387, 894, 14?

You can find a detailed procedure to find GCD of 387, 894, 14 on our page.

3. How to find GCD of 387, 894, 14 on a calculator?

You can find the GCD of 387, 894, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.