GCD of 753, 666, 939 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 753, 666, 939 i.e. 3 largest integer that divides all the numbers equally.

GCD of 753, 666, 939 is 3

GCD(753, 666, 939) = 3

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

GCD of

GCD of numbers 753, 666, 939 is 3

GCD(753, 666, 939) = 3

GCD of 753,666,939 Calculator

GCDof 753,666,939 is 3

Given Input numbers are 753, 666, 939

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

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

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Greatest Common Divisior

We found the divisors of 753, 666, 939 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 666, 939 is 3.

Therefore, GCD of numbers 753, 666, 939 is 3

Finding GCD of 753, 666, 939 using Prime Factorization

Given Input Data is 753, 666, 939

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 939 is 3 x 313

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 753, 666, 939 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(753, 666) = 167166

GCD(753, 666) = ( 753 x 666 ) / 167166

GCD(753, 666) = 501498 / 167166

GCD(753, 666) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 939

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

LCM(3, 939) = 939

GCD(3, 939) = ( 3 x 939 ) / 939

GCD(3, 939) = 2817 / 939

GCD(3, 939) = 3

GCD of 753, 666, 939 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 753, 666, 939

1. What is the GCD of 753, 666, 939?

GCD of 753, 666, 939 is 3


2. Where do I get the detailed procedure to find GCD of 753, 666, 939?

You can find a detailed procedure to find GCD of 753, 666, 939 on our page.


3. How to find GCD of 753, 666, 939 on a calculator?

You can find the GCD of 753, 666, 939 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.