GCD of 729, 226, 60, 351 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 729, 226, 60, 351 i.e. 1 largest integer that divides all the numbers equally.

GCD of 729, 226, 60, 351 is 1

GCD(729, 226, 60, 351) = 1

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

GCD of

GCD of numbers 729, 226, 60, 351 is 1

GCD(729, 226, 60, 351) = 1

GCD of 729,226,60,351 Calculator

GCDof 729,226,60,351 is 1

Given Input numbers are 729, 226, 60, 351

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

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 729, 226, 60, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 226, 60, 351 is 1.

Therefore, GCD of numbers 729, 226, 60, 351 is 1

Finding GCD of 729, 226, 60, 351 using Prime Factorization

Given Input Data is 729, 226, 60, 351

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

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 226 is 2 x 113

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 351 is 3 x 3 x 3 x 13

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

Finding GCD of 729, 226, 60, 351 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(729, 226) = 164754

GCD(729, 226) = ( 729 x 226 ) / 164754

GCD(729, 226) = 164754 / 164754

GCD(729, 226) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 729, 226, 60, 351 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 729, 226, 60, 351

1. What is the GCD of 729, 226, 60, 351?

GCD of 729, 226, 60, 351 is 1


2. Where do I get the detailed procedure to find GCD of 729, 226, 60, 351?

You can find a detailed procedure to find GCD of 729, 226, 60, 351 on our page.


3. How to find GCD of 729, 226, 60, 351 on a calculator?

You can find the GCD of 729, 226, 60, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.