GCD of 228, 447, 14, 205 Calculator

Given Input numbers are 228, 447, 14, 205

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

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 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 14

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

1, 2, 7, 14

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 228, 447, 14, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 447, 14, 205 is 1.

Therefore, GCD of numbers 228, 447, 14, 205 is 1

Given Input Data is 228, 447, 14, 205

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

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 14 is 2 x 7

Prime Factorization of 205 is 5 x 41

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(228, 447) = 33972

GCD(228, 447) = ( 228 x 447 ) / 33972

GCD(228, 447) = 101916 / 33972

GCD(228, 447) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 228, 447, 14, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 139, 36, 227
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• GCD of 179, 902, 32, 172
• GCD of 727, 781, 51, 160
• GCD of 394, 309, 56, 515

1. What is the GCD of 228, 447, 14, 205?

GCD of 228, 447, 14, 205 is 1

2. Where do I get the detailed procedure to find GCD of 228, 447, 14, 205?

You can find a detailed procedure to find GCD of 228, 447, 14, 205 on our page.

3. How to find GCD of 228, 447, 14, 205 on a calculator?

You can find the GCD of 228, 447, 14, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.