Where do I get the detailed procedure to find GCD of 333, 414, 828?

You can find a detailed procedure to find GCD of 333, 414, 828 on our page.

How to find GCD of 333, 414, 828 on a calculator?

You can find the GCD of 333, 414, 828 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 333, 414, 828 Calculator

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

Online GCD Calculator is useful to find the GCD of 333, 414, 828 quickly. Get the easiest ways to solve the greatest common divisor of 333, 414, 828 i.e 9 in different methods as follows.

How to Find GCD of Numbers 333, 414, 828 with Factoring?

Given Input numbers are 333, 414, 828

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

Divisors of 333 :

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

1, 3, 9, 37, 111, 333

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (333, 414, 828) = 9.

Find GCD of 333, 414, 828 using Prime Factorization

Given numbers are 333, 414, 828

The list of prime factors of all numbers are

Prime factors of 333 are 3 x 3 x 37

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 3²

Therefore, GCD of 333, 414, 828 is 9.

Steps to Calculate GCD of 333, 414, 828 using LCM Formula

Given numbers are 333, 414, 828

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

Apply this formula for all numbers.

Step1:

LCM(333, 414) = 15318

GCD(333, 414) = ( 333 x 414 ) / 15318

= 333 / 414

= 333

Step2:

LCM(9, 828) = 828

GCD(9, 828) = ( 9 x 828 ) / 828

= 9 / 828

= 9

So, Greatest Common Divisor of 333, 414, 828 is 9

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 333, 414, 828

Given numbers are 333, 414, 828
The greatest common divisor of numbers 333, 414, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 333, 414, 828 is 9.

FAQs on GCD of 333, 414, 828 Calculator

1. What is the GCD of 333, 414, 828?

GCD of given numbers 333, 414, 828 is 9

2. How to calculate the greatest common divisor of 333, 414, 828?

We can find the highest common divisor of 333, 414, 828 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 333, 414, 828 i.e 9.

3. How can I use the GCD of 333, 414, 828Calculator?

Out the numbers 333, 414, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.