Where do I get the detailed procedure to find GCD of 729, 180, 867?

You can find a detailed procedure to find GCD of 729, 180, 867 on our page.

How to find GCD of 729, 180, 867 on a calculator?

You can find the GCD of 729, 180, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 729, 180, 867 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 729, 180, 867 quickly. Get the easiest ways to solve the greatest common divisor of 729, 180, 867 i.e 3 in different methods as follows.

How to Find GCD of Numbers 729, 180, 867 with Factoring?

Given Input numbers are 729, 180, 867

In the factoring method, we have to find the divisors of all numbers

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

GCD of numbers is the greatest common divisor

So, the GCD (729, 180, 867) = 3.

Find GCD of 729, 180, 867 using Prime Factorization

Given numbers are 729, 180, 867

The list of prime factors of all numbers are

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 867 are 3 x 17 x 17

The highest common occurrence is 3¹

Therefore, GCD of 729, 180, 867 is 3.

Steps to Calculate GCD of 729, 180, 867 using LCM Formula

Given numbers are 729, 180, 867

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(729, 180) = 14580

GCD(729, 180) = ( 729 x 180 ) / 14580

= 729 / 180

= 729

Step2:

LCM(9, 867) = 2601

GCD(9, 867) = ( 9 x 867 ) / 2601

= 9 / 867

= 9

So, Greatest Common Divisor of 729, 180, 867 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 729, 180, 867

Given numbers are 729, 180, 867
The greatest common divisor of numbers 729, 180, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 180, 867 is 3.

FAQs on GCD of 729, 180, 867 Calculator

1. What is the GCD of 729, 180, 867?

GCD of given numbers 729, 180, 867 is 3

2. How to calculate the greatest common divisor of 729, 180, 867?

We can find the highest common divisor of 729, 180, 867 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 729, 180, 867 i.e 3.

3. How can I use the GCD of 729, 180, 867Calculator?

Out the numbers 729, 180, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.