Where do I get the detailed procedure to find GCD of 729, 213, 474?

You can find a detailed procedure to find GCD of 729, 213, 474 on our page.

How to find GCD of 729, 213, 474 on a calculator?

You can find the GCD of 729, 213, 474 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, 213, 474 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, 213, 474 quickly. Get the easiest ways to solve the greatest common divisor of 729, 213, 474 i.e 3 in different methods as follows.

How to Find GCD of Numbers 729, 213, 474 with Factoring?

Given Input numbers are 729, 213, 474

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (729, 213, 474) = 3.

Find GCD of 729, 213, 474 using Prime Factorization

Given numbers are 729, 213, 474

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 213 are 3 x 71

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 729, 213, 474 is 3.

Steps to Calculate GCD of 729, 213, 474 using LCM Formula

Given numbers are 729, 213, 474

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

Apply this formula for all numbers.

Step1:

LCM(729, 213) = 51759

GCD(729, 213) = ( 729 x 213 ) / 51759

= 729 / 213

= 729

Step2:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

So, Greatest Common Divisor of 729, 213, 474 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 729, 213, 474

Given numbers are 729, 213, 474
The greatest common divisor of numbers 729, 213, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 213, 474 is 3.

FAQs on GCD of 729, 213, 474 Calculator

1. What is the GCD of 729, 213, 474?

GCD of given numbers 729, 213, 474 is 3

2. How to calculate the greatest common divisor of 729, 213, 474?

We can find the highest common divisor of 729, 213, 474 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, 213, 474 i.e 3.

3. How can I use the GCD of 729, 213, 474Calculator?

Out the numbers 729, 213, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.