Where do I get the detailed procedure to find GCD of 216, 342, 747?

You can find a detailed procedure to find GCD of 216, 342, 747 on our page.

How to find GCD of 216, 342, 747 on a calculator?

You can find the GCD of 216, 342, 747 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 216, 342, 747 Calculator

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

Online GCD Calculator is useful to find the GCD of 216, 342, 747 quickly. Get the easiest ways to solve the greatest common divisor of 216, 342, 747 i.e 9 in different methods as follows.

How to Find GCD of Numbers 216, 342, 747 with Factoring?

Given Input numbers are 216, 342, 747

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (216, 342, 747) = 9.

Find GCD of 216, 342, 747 using Prime Factorization

Given numbers are 216, 342, 747

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 747 are 3 x 3 x 83

The highest common occurrence is 3²

Therefore, GCD of 216, 342, 747 is 9.

Steps to Calculate GCD of 216, 342, 747 using LCM Formula

Given numbers are 216, 342, 747

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

Apply this formula for all numbers.

Step1:

LCM(216, 342) = 4104

GCD(216, 342) = ( 216 x 342 ) / 4104

= 216 / 342

= 216

Step2:

LCM(18, 747) = 1494

GCD(18, 747) = ( 18 x 747 ) / 1494

= 18 / 747

= 18

So, Greatest Common Divisor of 216, 342, 747 is 9

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 216, 342, 747

Given numbers are 216, 342, 747
The greatest common divisor of numbers 216, 342, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 342, 747 is 9.

FAQs on GCD of 216, 342, 747 Calculator

1. What is the GCD of 216, 342, 747?

GCD of given numbers 216, 342, 747 is 9

2. How to calculate the greatest common divisor of 216, 342, 747?

We can find the highest common divisor of 216, 342, 747 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 216, 342, 747 i.e 9.

3. How can I use the GCD of 216, 342, 747Calculator?

Out the numbers 216, 342, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.