GCD of 228, 321, 631, 648 Calculator

Given Input numbers are 228, 321, 631, 648

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 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 228, 321, 631, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 321, 631, 648 is 1.

Therefore, GCD of numbers 228, 321, 631, 648 is 1

Given Input Data is 228, 321, 631, 648

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 321 is 3 x 107

Prime Factorization of 631 is 631

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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, 321) = 24396

GCD(228, 321) = ( 228 x 321 ) / 24396

GCD(228, 321) = 73188 / 24396

GCD(228, 321) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 631

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

LCM(3, 631) = 1893

GCD(3, 631) = ( 3 x 631 ) / 1893

GCD(3, 631) = 1893 / 1893

GCD(3, 631) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 228, 321, 631, 648 is 1

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• GCD of 353, 266, 332, 327

1. What is the GCD of 228, 321, 631, 648?

GCD of 228, 321, 631, 648 is 1

2. Where do I get the detailed procedure to find GCD of 228, 321, 631, 648?

You can find a detailed procedure to find GCD of 228, 321, 631, 648 on our page.

3. How to find GCD of 228, 321, 631, 648 on a calculator?

You can find the GCD of 228, 321, 631, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.