Where do I get the detailed procedure to find GCD of 789, 360, 891?

You can find a detailed procedure to find GCD of 789, 360, 891 on our page.

How to find GCD of 789, 360, 891 on a calculator?

You can find the GCD of 789, 360, 891 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, 360, 891 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, 360, 891 quickly. Get the easiest ways to solve the greatest common divisor of 789, 360, 891 i.e 3 in different methods as follows.

How to Find GCD of Numbers 789, 360, 891 with Factoring?

Given Input numbers are 789, 360, 891

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

GCD of numbers is the greatest common divisor

So, the GCD (789, 360, 891) = 3.

Find GCD of 789, 360, 891 using Prime Factorization

Given numbers are 789, 360, 891

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 789, 360, 891 is 3.

Steps to Calculate GCD of 789, 360, 891 using LCM Formula

Given numbers are 789, 360, 891

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

Apply this formula for all numbers.

Step1:

LCM(789, 360) = 94680

GCD(789, 360) = ( 789 x 360 ) / 94680

= 789 / 360

= 789

Step2:

LCM(3, 891) = 891

GCD(3, 891) = ( 3 x 891 ) / 891

= 3 / 891

= 3

So, Greatest Common Divisor of 789, 360, 891 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 789, 360, 891

Given numbers are 789, 360, 891
The greatest common divisor of numbers 789, 360, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 360, 891 is 3.

FAQs on GCD of 789, 360, 891 Calculator

1. What is the GCD of 789, 360, 891?

GCD of given numbers 789, 360, 891 is 3

2. How to calculate the greatest common divisor of 789, 360, 891?

We can find the highest common divisor of 789, 360, 891 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, 360, 891 i.e 3.

3. How can I use the GCD of 789, 360, 891Calculator?

Out the numbers 789, 360, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.