GCD of 774, 729, 405, 993 Calculator

Given Input numbers are 774, 729, 405, 993

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 993

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

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 774, 729, 405, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 729, 405, 993 is 3.

Therefore, GCD of numbers 774, 729, 405, 993 is 3

Given Input Data is 774, 729, 405, 993

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 993 is 3 x 331

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(774, 729) = 62694

GCD(774, 729) = ( 774 x 729 ) / 62694

GCD(774, 729) = 564246 / 62694

GCD(774, 729) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 405

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

LCM(9, 405) = 405

GCD(9, 405) = ( 9 x 405 ) / 405

GCD(9, 405) = 3645 / 405

GCD(9, 405) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 993

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

LCM(9, 993) = 2979

GCD(9, 993) = ( 9 x 993 ) / 2979

GCD(9, 993) = 8937 / 2979

GCD(9, 993) = 3

GCD of 774, 729, 405, 993 is 3

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1. What is the GCD of 774, 729, 405, 993?

GCD of 774, 729, 405, 993 is 3

2. Where do I get the detailed procedure to find GCD of 774, 729, 405, 993?

You can find a detailed procedure to find GCD of 774, 729, 405, 993 on our page.

3. How to find GCD of 774, 729, 405, 993 on a calculator?

You can find the GCD of 774, 729, 405, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.