GCD of 789, 871, 766 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 789, 871, 766 i.e. 1 largest integer that divides all the numbers equally.

GCD of 789, 871, 766 is 1

GCD(789, 871, 766) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 789, 871, 766 is 1

GCD(789, 871, 766) = 1

GCD of 789,871,766 Calculator

GCDof 789,871,766 is 1

Given Input numbers are 789, 871, 766

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 789, 871, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 871, 766 is 1.

Therefore, GCD of numbers 789, 871, 766 is 1

Finding GCD of 789, 871, 766 using Prime Factorization

Given Input Data is 789, 871, 766

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 789 is 3 x 263

Prime Factorization of 871 is 13 x 67

Prime Factorization of 766 is 2 x 383

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 789, 871, 766 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(789, 871) = 687219

GCD(789, 871) = ( 789 x 871 ) / 687219

GCD(789, 871) = 687219 / 687219

GCD(789, 871) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 789, 871, 766 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 789, 871, 766

1. What is the GCD of 789, 871, 766?

GCD of 789, 871, 766 is 1


2. Where do I get the detailed procedure to find GCD of 789, 871, 766?

You can find a detailed procedure to find GCD of 789, 871, 766 on our page.


3. How to find GCD of 789, 871, 766 on a calculator?

You can find the GCD of 789, 871, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.