GCD of 783, 738, 639 Calculator

Make use of GCD Calculator to determine the Greatest Common Divisor of 783, 738, 639 i.e. 9 largest integer that divides all the numbers equally.

GCD of 783, 738, 639 is 9

GCD(783, 738, 639) = 9

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

GCD of

Finding GCD of 783, 738, 639 using Factoring

Given Input numbers are 783, 738, 639

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

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Greatest Common Divisior

We found the divisors of 783, 738, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 738, 639 is 9.

Therefore, GCD of numbers 783, 738, 639 is 9

Finding GCD of 783, 738, 639 using Prime Factorization

Given Input Data is 783, 738, 639

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

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 639 is 3 x 3 x 71

Highest common occurrences in the given inputs are 32

Multiplying them we get the GCD as 9

Finding GCD of 783, 738, 639 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(783, 738) = 64206

GCD(783, 738) = ( 783 x 738 ) / 64206

GCD(783, 738) = 577854 / 64206

GCD(783, 738) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 639

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

LCM(9, 639) = 639

GCD(9, 639) = ( 9 x 639 ) / 639

GCD(9, 639) = 5751 / 639

GCD(9, 639) = 9

GCD of 783, 738, 639 is 9

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 783, 738, 639

1. What is the GCD of 783, 738, 639?

GCD of 783, 738, 639 is 9


2. Where do I get the detailed procedure to find GCD of 783, 738, 639?

You can find a detailed procedure to find GCD of 783, 738, 639 on our page.


3. How to find GCD of 783, 738, 639 on a calculator?

You can find the GCD of 783, 738, 639 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 783,738,639 Calculator