GCD of 699, 729, 789 Calculator

Given Input numbers are 699, 729, 789

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

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 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 699, 729, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 729, 789 is 3.

Therefore, GCD of numbers 699, 729, 789 is 3

Given Input Data is 699, 729, 789

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

Prime Factorization of 699 is 3 x 233

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

Prime Factorization of 789 is 3 x 263

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(699, 729) = 169857

GCD(699, 729) = ( 699 x 729 ) / 169857

GCD(699, 729) = 509571 / 169857

GCD(699, 729) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 789

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

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

GCD(3, 789) = 2367 / 789

GCD(3, 789) = 3

GCD of 699, 729, 789 is 3

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1. What is the GCD of 699, 729, 789?

GCD of 699, 729, 789 is 3

2. Where do I get the detailed procedure to find GCD of 699, 729, 789?

You can find a detailed procedure to find GCD of 699, 729, 789 on our page.

3. How to find GCD of 699, 729, 789 on a calculator?

You can find the GCD of 699, 729, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.