Where do I get the detailed procedure to find GCD of 336, 819, 123?

You can find a detailed procedure to find GCD of 336, 819, 123 on our page.

How to find GCD of 336, 819, 123 on a calculator?

You can find the GCD of 336, 819, 123 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 336, 819, 123 Calculator

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

Online GCD Calculator is useful to find the GCD of 336, 819, 123 quickly. Get the easiest ways to solve the greatest common divisor of 336, 819, 123 i.e 3 in different methods as follows.

How to Find GCD of Numbers 336, 819, 123 with Factoring?

Given Input numbers are 336, 819, 123

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

GCD of numbers is the greatest common divisor

So, the GCD (336, 819, 123) = 3.

Find GCD of 336, 819, 123 using Prime Factorization

Given numbers are 336, 819, 123

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 123 are 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 336, 819, 123 is 3.

Steps to Calculate GCD of 336, 819, 123 using LCM Formula

Given numbers are 336, 819, 123

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

Apply this formula for all numbers.

Step1:

LCM(336, 819) = 13104

GCD(336, 819) = ( 336 x 819 ) / 13104

= 336 / 819

= 336

Step2:

LCM(21, 123) = 861

GCD(21, 123) = ( 21 x 123 ) / 861

= 21 / 123

= 21

So, Greatest Common Divisor of 336, 819, 123 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 336, 819, 123

Given numbers are 336, 819, 123
The greatest common divisor of numbers 336, 819, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 819, 123 is 3.

FAQs on GCD of 336, 819, 123 Calculator

1. What is the GCD of 336, 819, 123?

GCD of given numbers 336, 819, 123 is 3

2. How to calculate the greatest common divisor of 336, 819, 123?

We can find the highest common divisor of 336, 819, 123 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 336, 819, 123 i.e 3.

3. How can I use the GCD of 336, 819, 123Calculator?

Out the numbers 336, 819, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.