Where do I get the detailed procedure to find GCD of 729, 345, 552?

You can find a detailed procedure to find GCD of 729, 345, 552 on our page.

How to find GCD of 729, 345, 552 on a calculator?

You can find the GCD of 729, 345, 552 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, 345, 552 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, 345, 552 quickly. Get the easiest ways to solve the greatest common divisor of 729, 345, 552 i.e 3 in different methods as follows.

How to Find GCD of Numbers 729, 345, 552 with Factoring?

Given Input numbers are 729, 345, 552

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

GCD of numbers is the greatest common divisor

So, the GCD (729, 345, 552) = 3.

Find GCD of 729, 345, 552 using Prime Factorization

Given numbers are 729, 345, 552

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 345 are 3 x 5 x 23

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 729, 345, 552 is 3.

Steps to Calculate GCD of 729, 345, 552 using LCM Formula

Given numbers are 729, 345, 552

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

Apply this formula for all numbers.

Step1:

LCM(729, 345) = 83835

GCD(729, 345) = ( 729 x 345 ) / 83835

= 729 / 345

= 729

Step2:

LCM(3, 552) = 552

GCD(3, 552) = ( 3 x 552 ) / 552

= 3 / 552

= 3

So, Greatest Common Divisor of 729, 345, 552 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 729, 345, 552

Given numbers are 729, 345, 552
The greatest common divisor of numbers 729, 345, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 345, 552 is 3.

FAQs on GCD of 729, 345, 552 Calculator

1. What is the GCD of 729, 345, 552?

GCD of given numbers 729, 345, 552 is 3

2. How to calculate the greatest common divisor of 729, 345, 552?

We can find the highest common divisor of 729, 345, 552 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, 345, 552 i.e 3.

3. How can I use the GCD of 729, 345, 552Calculator?

Out the numbers 729, 345, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.