Where do I get the detailed procedure to find GCD of 789, 312, 666?

You can find a detailed procedure to find GCD of 789, 312, 666 on our page.

How to find GCD of 789, 312, 666 on a calculator?

You can find the GCD of 789, 312, 666 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 789, 312, 666 Calculator

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

Online GCD Calculator is useful to find the GCD of 789, 312, 666 quickly. Get the easiest ways to solve the greatest common divisor of 789, 312, 666 i.e 3 in different methods as follows.

How to Find GCD of Numbers 789, 312, 666 with Factoring?

Given Input numbers are 789, 312, 666

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

GCD of numbers is the greatest common divisor

So, the GCD (789, 312, 666) = 3.

Find GCD of 789, 312, 666 using Prime Factorization

Given numbers are 789, 312, 666

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 666 are 2 x 3 x 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 789, 312, 666 is 3.

Steps to Calculate GCD of 789, 312, 666 using LCM Formula

Given numbers are 789, 312, 666

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

Apply this formula for all numbers.

Step1:

LCM(789, 312) = 82056

GCD(789, 312) = ( 789 x 312 ) / 82056

= 789 / 312

= 789

Step2:

LCM(3, 666) = 666

GCD(3, 666) = ( 3 x 666 ) / 666

= 3 / 666

= 3

So, Greatest Common Divisor of 789, 312, 666 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 789, 312, 666

Given numbers are 789, 312, 666
The greatest common divisor of numbers 789, 312, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 312, 666 is 3.

FAQs on GCD of 789, 312, 666 Calculator

1. What is the GCD of 789, 312, 666?

GCD of given numbers 789, 312, 666 is 3

2. How to calculate the greatest common divisor of 789, 312, 666?

We can find the highest common divisor of 789, 312, 666 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 789, 312, 666 i.e 3.

3. How can I use the GCD of 789, 312, 666Calculator?

Out the numbers 789, 312, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.