GCD of 993, 309, 228, 929 Calculator

Given Input numbers are 993, 309, 228, 929

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

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 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Greatest Common Divisior

We found the divisors of 993, 309, 228, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 309, 228, 929 is 1.

Therefore, GCD of numbers 993, 309, 228, 929 is 1

Given Input Data is 993, 309, 228, 929

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 993 is 3 x 331

Prime Factorization of 309 is 3 x 103

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 929 is 929

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(993, 309) = 102279

GCD(993, 309) = ( 993 x 309 ) / 102279

GCD(993, 309) = 306837 / 102279

GCD(993, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 228

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

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

GCD(3, 228) = 684 / 228

GCD(3, 228) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 929

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

LCM(3, 929) = 2787

GCD(3, 929) = ( 3 x 929 ) / 2787

GCD(3, 929) = 2787 / 2787

GCD(3, 929) = 1

GCD of 993, 309, 228, 929 is 1

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1. What is the GCD of 993, 309, 228, 929?

GCD of 993, 309, 228, 929 is 1

2. Where do I get the detailed procedure to find GCD of 993, 309, 228, 929?

You can find a detailed procedure to find GCD of 993, 309, 228, 929 on our page.

3. How to find GCD of 993, 309, 228, 929 on a calculator?

You can find the GCD of 993, 309, 228, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.