GCD of 228, 928, 43, 657 Calculator

Given Input numbers are 228, 928, 43, 657

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 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 228, 928, 43, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 928, 43, 657 is 1.

Therefore, GCD of numbers 228, 928, 43, 657 is 1

Given Input Data is 228, 928, 43, 657

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 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 43 is 43

Prime Factorization of 657 is 3 x 3 x 73

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, 928) = 52896

GCD(228, 928) = ( 228 x 928 ) / 52896

GCD(228, 928) = 211584 / 52896

GCD(228, 928) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 43

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

LCM(4, 43) = 172

GCD(4, 43) = ( 4 x 43 ) / 172

GCD(4, 43) = 172 / 172

GCD(4, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 228, 928, 43, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 420, 43, 829
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• GCD of 731, 328, 30, 492

1. What is the GCD of 228, 928, 43, 657?

GCD of 228, 928, 43, 657 is 1

2. Where do I get the detailed procedure to find GCD of 228, 928, 43, 657?

You can find a detailed procedure to find GCD of 228, 928, 43, 657 on our page.

3. How to find GCD of 228, 928, 43, 657 on a calculator?

You can find the GCD of 228, 928, 43, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.