Where do I get the detailed procedure to find GCD of 399, 828, 78?

You can find a detailed procedure to find GCD of 399, 828, 78 on our page.

How to find GCD of 399, 828, 78 on a calculator?

You can find the GCD of 399, 828, 78 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 399, 828, 78 Calculator

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

Online GCD Calculator is useful to find the GCD of 399, 828, 78 quickly. Get the easiest ways to solve the greatest common divisor of 399, 828, 78 i.e 3 in different methods as follows.

How to Find GCD of Numbers 399, 828, 78 with Factoring?

Given Input numbers are 399, 828, 78

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

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

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

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

GCD of numbers is the greatest common divisor

So, the GCD (399, 828, 78) = 3.

Find GCD of 399, 828, 78 using Prime Factorization

Given numbers are 399, 828, 78

The list of prime factors of all numbers are

Prime factors of 399 are 3 x 7 x 19

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

Prime factors of 78 are 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 399, 828, 78 is 3.

Steps to Calculate GCD of 399, 828, 78 using LCM Formula

Given numbers are 399, 828, 78

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

Apply this formula for all numbers.

Step1:

LCM(399, 828) = 110124

GCD(399, 828) = ( 399 x 828 ) / 110124

= 399 / 828

= 399

Step2:

LCM(3, 78) = 78

GCD(3, 78) = ( 3 x 78 ) / 78

= 3 / 78

= 3

So, Greatest Common Divisor of 399, 828, 78 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 399, 828, 78

Given numbers are 399, 828, 78
The greatest common divisor of numbers 399, 828, 78 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 828, 78 is 3.

FAQs on GCD of 399, 828, 78 Calculator

1. What is the GCD of 399, 828, 78?

GCD of given numbers 399, 828, 78 is 3

2. How to calculate the greatest common divisor of 399, 828, 78?

We can find the highest common divisor of 399, 828, 78 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 399, 828, 78 i.e 3.

3. How can I use the GCD of 399, 828, 78Calculator?

Out the numbers 399, 828, 78 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.