Where do I get the detailed procedure to find GCD of 732, 687, 729?

You can find a detailed procedure to find GCD of 732, 687, 729 on our page.

How to find GCD of 732, 687, 729 on a calculator?

You can find the GCD of 732, 687, 729 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 732, 687, 729 Calculator

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

Online GCD Calculator is useful to find the GCD of 732, 687, 729 quickly. Get the easiest ways to solve the greatest common divisor of 732, 687, 729 i.e 3 in different methods as follows.

How to Find GCD of Numbers 732, 687, 729 with Factoring?

Given Input numbers are 732, 687, 729

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 729 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (732, 687, 729) = 3.

Find GCD of 732, 687, 729 using Prime Factorization

Given numbers are 732, 687, 729

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 687 are 3 x 229

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

The highest common occurrence is 3¹

Therefore, GCD of 732, 687, 729 is 3.

Steps to Calculate GCD of 732, 687, 729 using LCM Formula

Given numbers are 732, 687, 729

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

Apply this formula for all numbers.

Step1:

LCM(732, 687) = 167628

GCD(732, 687) = ( 732 x 687 ) / 167628

= 732 / 687

= 732

Step2:

LCM(3, 729) = 729

GCD(3, 729) = ( 3 x 729 ) / 729

= 3 / 729

= 3

So, Greatest Common Divisor of 732, 687, 729 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 732, 687, 729

Given numbers are 732, 687, 729
The greatest common divisor of numbers 732, 687, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 687, 729 is 3.

FAQs on GCD of 732, 687, 729 Calculator

1. What is the GCD of 732, 687, 729?

GCD of given numbers 732, 687, 729 is 3

2. How to calculate the greatest common divisor of 732, 687, 729?

We can find the highest common divisor of 732, 687, 729 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 732, 687, 729 i.e 3.

3. How can I use the GCD of 732, 687, 729Calculator?

Out the numbers 732, 687, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.