GCD of 228, 217, 728 Calculator

Given Input numbers are 228, 217, 728

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 228, 217, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 217, 728 is 1.

Therefore, GCD of numbers 228, 217, 728 is 1

Given Input Data is 228, 217, 728

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 217 is 7 x 31

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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, 217) = 49476

GCD(228, 217) = ( 228 x 217 ) / 49476

GCD(228, 217) = 49476 / 49476

GCD(228, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 228, 217, 728 is 1

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1. What is the GCD of 228, 217, 728?

GCD of 228, 217, 728 is 1

2. Where do I get the detailed procedure to find GCD of 228, 217, 728?

You can find a detailed procedure to find GCD of 228, 217, 728 on our page.

3. How to find GCD of 228, 217, 728 on a calculator?

You can find the GCD of 228, 217, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.