GCD of 187, 774, 115 Calculator

Given Input numbers are 187, 774, 115

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

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 187, 774, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 774, 115 is 1.

Therefore, GCD of numbers 187, 774, 115 is 1

Given Input Data is 187, 774, 115

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 115 is 5 x 23

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(187, 774) = 144738

GCD(187, 774) = ( 187 x 774 ) / 144738

GCD(187, 774) = 144738 / 144738

GCD(187, 774) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

GCD of 187, 774, 115 is 1

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1. What is the GCD of 187, 774, 115?

GCD of 187, 774, 115 is 1

2. Where do I get the detailed procedure to find GCD of 187, 774, 115?

You can find a detailed procedure to find GCD of 187, 774, 115 on our page.

3. How to find GCD of 187, 774, 115 on a calculator?

You can find the GCD of 187, 774, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.