GCD of 228, 933, 594, 291 Calculator

Given Input numbers are 228, 933, 594, 291

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 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 228, 933, 594, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 933, 594, 291 is 3.

Therefore, GCD of numbers 228, 933, 594, 291 is 3

Given Input Data is 228, 933, 594, 291

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 933 is 3 x 311

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 291 is 3 x 97

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 933) = 70908

GCD(228, 933) = ( 228 x 933 ) / 70908

GCD(228, 933) = 212724 / 70908

GCD(228, 933) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 594

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

LCM(3, 594) = 594

GCD(3, 594) = ( 3 x 594 ) / 594

GCD(3, 594) = 1782 / 594

GCD(3, 594) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 291

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

LCM(3, 291) = 291

GCD(3, 291) = ( 3 x 291 ) / 291

GCD(3, 291) = 873 / 291

GCD(3, 291) = 3

GCD of 228, 933, 594, 291 is 3

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1. What is the GCD of 228, 933, 594, 291?

GCD of 228, 933, 594, 291 is 3

2. Where do I get the detailed procedure to find GCD of 228, 933, 594, 291?

You can find a detailed procedure to find GCD of 228, 933, 594, 291 on our page.

3. How to find GCD of 228, 933, 594, 291 on a calculator?

You can find the GCD of 228, 933, 594, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.