GCD of 115, 228, 689 Calculator

Given Input numbers are 115, 228, 689

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

Divisors of 115

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

1, 5, 23, 115

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 115, 228, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 228, 689 is 1.

Therefore, GCD of numbers 115, 228, 689 is 1

Given Input Data is 115, 228, 689

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 689 is 13 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(115, 228) = 26220

GCD(115, 228) = ( 115 x 228 ) / 26220

GCD(115, 228) = 26220 / 26220

GCD(115, 228) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 115, 228, 689 is 1

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1. What is the GCD of 115, 228, 689?

GCD of 115, 228, 689 is 1

2. Where do I get the detailed procedure to find GCD of 115, 228, 689?

You can find a detailed procedure to find GCD of 115, 228, 689 on our page.

3. How to find GCD of 115, 228, 689 on a calculator?

You can find the GCD of 115, 228, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.