GCD of 993, 438, 229, 867 Calculator

Given Input numbers are 993, 438, 229, 867

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 993, 438, 229, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 438, 229, 867 is 1.

Therefore, GCD of numbers 993, 438, 229, 867 is 1

Given Input Data is 993, 438, 229, 867

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 229 is 229

Prime Factorization of 867 is 3 x 17 x 17

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, 438) = 144978

GCD(993, 438) = ( 993 x 438 ) / 144978

GCD(993, 438) = 434934 / 144978

GCD(993, 438) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 229

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

LCM(3, 229) = 687

GCD(3, 229) = ( 3 x 229 ) / 687

GCD(3, 229) = 687 / 687

GCD(3, 229) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 993, 438, 229, 867 is 1

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1. What is the GCD of 993, 438, 229, 867?

GCD of 993, 438, 229, 867 is 1

2. Where do I get the detailed procedure to find GCD of 993, 438, 229, 867?

You can find a detailed procedure to find GCD of 993, 438, 229, 867 on our page.

3. How to find GCD of 993, 438, 229, 867 on a calculator?

You can find the GCD of 993, 438, 229, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.