GCD of 735, 794, 27 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 735, 794, 27 i.e. 1 largest integer that divides all the numbers equally.

GCD of 735, 794, 27 is 1

GCD(735, 794, 27) = 1

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

GCD of

GCD of numbers 735, 794, 27 is 1

GCD(735, 794, 27) = 1

GCD of 735,794,27 Calculator

GCDof 735,794,27 is 1

Given Input numbers are 735, 794, 27

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Greatest Common Divisior

We found the divisors of 735, 794, 27 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 794, 27 is 1.

Therefore, GCD of numbers 735, 794, 27 is 1

Finding GCD of 735, 794, 27 using Prime Factorization

Given Input Data is 735, 794, 27

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 794 is 2 x 397

Prime Factorization of 27 is 3 x 3 x 3

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

Finding GCD of 735, 794, 27 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(735, 794) = 583590

GCD(735, 794) = ( 735 x 794 ) / 583590

GCD(735, 794) = 583590 / 583590

GCD(735, 794) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

GCD of 735, 794, 27 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 735, 794, 27

1. What is the GCD of 735, 794, 27?

GCD of 735, 794, 27 is 1


2. Where do I get the detailed procedure to find GCD of 735, 794, 27?

You can find a detailed procedure to find GCD of 735, 794, 27 on our page.


3. How to find GCD of 735, 794, 27 on a calculator?

You can find the GCD of 735, 794, 27 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.