GCD of 366, 394, 405, 228 Calculator

Given Input numbers are 366, 394, 405, 228

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

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 366, 394, 405, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 394, 405, 228 is 1.

Therefore, GCD of numbers 366, 394, 405, 228 is 1

Given Input Data is 366, 394, 405, 228

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 394 is 2 x 197

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

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(366, 394) = 72102

GCD(366, 394) = ( 366 x 394 ) / 72102

GCD(366, 394) = 144204 / 72102

GCD(366, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 405

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

LCM(2, 405) = 810

GCD(2, 405) = ( 2 x 405 ) / 810

GCD(2, 405) = 810 / 810

GCD(2, 405) = 1

Step3:

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 366, 394, 405, 228 is 1

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1. What is the GCD of 366, 394, 405, 228?

GCD of 366, 394, 405, 228 is 1

2. Where do I get the detailed procedure to find GCD of 366, 394, 405, 228?

You can find a detailed procedure to find GCD of 366, 394, 405, 228 on our page.

3. How to find GCD of 366, 394, 405, 228 on a calculator?

You can find the GCD of 366, 394, 405, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.