GCD of 729, 190, 296, 177 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, 190, 296, 177 i.e. 1 largest integer that divides all the numbers equally.

GCD of 729, 190, 296, 177 is 1

GCD(729, 190, 296, 177) = 1

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

GCD of

GCD of numbers 729, 190, 296, 177 is 1

GCD(729, 190, 296, 177) = 1

GCD of 729,190,296,177 Calculator

GCDof 729,190,296,177 is 1

Given Input numbers are 729, 190, 296, 177

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 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 729, 190, 296, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 190, 296, 177 is 1.

Therefore, GCD of numbers 729, 190, 296, 177 is 1

Finding GCD of 729, 190, 296, 177 using Prime Factorization

Given Input Data is 729, 190, 296, 177

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 190 is 2 x 5 x 19

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 177 is 3 x 59

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

Finding GCD of 729, 190, 296, 177 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, 190) = 138510

GCD(729, 190) = ( 729 x 190 ) / 138510

GCD(729, 190) = 138510 / 138510

GCD(729, 190) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 1

GCD of 729, 190, 296, 177 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 729, 190, 296, 177

1. What is the GCD of 729, 190, 296, 177?

GCD of 729, 190, 296, 177 is 1


2. Where do I get the detailed procedure to find GCD of 729, 190, 296, 177?

You can find a detailed procedure to find GCD of 729, 190, 296, 177 on our page.


3. How to find GCD of 729, 190, 296, 177 on a calculator?

You can find the GCD of 729, 190, 296, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.