GCD of 228, 771, 531, 328 Calculator

Given Input numbers are 228, 771, 531, 328

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 228, 771, 531, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 771, 531, 328 is 1.

Therefore, GCD of numbers 228, 771, 531, 328 is 1

Given Input Data is 228, 771, 531, 328

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 771 is 3 x 257

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 328 is 2 x 2 x 2 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, 771) = 58596

GCD(228, 771) = ( 228 x 771 ) / 58596

GCD(228, 771) = 175788 / 58596

GCD(228, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 531

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

LCM(3, 531) = 531

GCD(3, 531) = ( 3 x 531 ) / 531

GCD(3, 531) = 1593 / 531

GCD(3, 531) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 328

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

LCM(3, 328) = 984

GCD(3, 328) = ( 3 x 328 ) / 984

GCD(3, 328) = 984 / 984

GCD(3, 328) = 1

GCD of 228, 771, 531, 328 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 906, 277, 280
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• GCD of 870, 606, 300, 263

1. What is the GCD of 228, 771, 531, 328?

GCD of 228, 771, 531, 328 is 1

2. Where do I get the detailed procedure to find GCD of 228, 771, 531, 328?

You can find a detailed procedure to find GCD of 228, 771, 531, 328 on our page.

3. How to find GCD of 228, 771, 531, 328 on a calculator?

You can find the GCD of 228, 771, 531, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.