GCD of 185, 309, 228 Calculator

Given Input numbers are 185, 309, 228

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

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

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

Greatest Common Divisior

We found the divisors of 185, 309, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 309, 228 is 1.

Therefore, GCD of numbers 185, 309, 228 is 1

Given Input Data is 185, 309, 228

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

Prime Factorization of 185 is 5 x 37

Prime Factorization of 309 is 3 x 103

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

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(185, 309) = 57165

GCD(185, 309) = ( 185 x 309 ) / 57165

GCD(185, 309) = 57165 / 57165

GCD(185, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

GCD of 185, 309, 228 is 1

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1. What is the GCD of 185, 309, 228?

GCD of 185, 309, 228 is 1

2. Where do I get the detailed procedure to find GCD of 185, 309, 228?

You can find a detailed procedure to find GCD of 185, 309, 228 on our page.

3. How to find GCD of 185, 309, 228 on a calculator?

You can find the GCD of 185, 309, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.