Where do I get the detailed procedure to find GCD of 396, 333, 270?

You can find a detailed procedure to find GCD of 396, 333, 270 on our page.

How to find GCD of 396, 333, 270 on a calculator?

You can find the GCD of 396, 333, 270 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 396, 333, 270 Calculator

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

Online GCD Calculator is useful to find the GCD of 396, 333, 270 quickly. Get the easiest ways to solve the greatest common divisor of 396, 333, 270 i.e 9 in different methods as follows.

How to Find GCD of Numbers 396, 333, 270 with Factoring?

Given Input numbers are 396, 333, 270

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (396, 333, 270) = 9.

Find GCD of 396, 333, 270 using Prime Factorization

Given numbers are 396, 333, 270

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 333 are 3 x 3 x 37

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 3²

Therefore, GCD of 396, 333, 270 is 9.

Steps to Calculate GCD of 396, 333, 270 using LCM Formula

Given numbers are 396, 333, 270

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

Apply this formula for all numbers.

Step1:

LCM(396, 333) = 14652

GCD(396, 333) = ( 396 x 333 ) / 14652

= 396 / 333

= 396

Step2:

LCM(9, 270) = 270

GCD(9, 270) = ( 9 x 270 ) / 270

= 9 / 270

= 9

So, Greatest Common Divisor of 396, 333, 270 is 9

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 396, 333, 270

Given numbers are 396, 333, 270
The greatest common divisor of numbers 396, 333, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 333, 270 is 9.

FAQs on GCD of 396, 333, 270 Calculator

1. What is the GCD of 396, 333, 270?

GCD of given numbers 396, 333, 270 is 9

2. How to calculate the greatest common divisor of 396, 333, 270?

We can find the highest common divisor of 396, 333, 270 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 396, 333, 270 i.e 9.

3. How can I use the GCD of 396, 333, 270Calculator?

Out the numbers 396, 333, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.