GCD of 123, 919, 802, 729 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 123, 919, 802, 729 i.e. 1 largest integer that divides all the numbers equally.

GCD of 123, 919, 802, 729 is 1

GCD(123, 919, 802, 729) = 1

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

GCD of

GCD of numbers 123, 919, 802, 729 is 1

GCD(123, 919, 802, 729) = 1

GCD of 123,919,802,729 Calculator

GCDof 123,919,802,729 is 1

Given Input numbers are 123, 919, 802, 729

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 729

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

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

Greatest Common Divisior

We found the divisors of 123, 919, 802, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 919, 802, 729 is 1.

Therefore, GCD of numbers 123, 919, 802, 729 is 1

Finding GCD of 123, 919, 802, 729 using Prime Factorization

Given Input Data is 123, 919, 802, 729

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 919 is 919

Prime Factorization of 802 is 2 x 401

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

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

Finding GCD of 123, 919, 802, 729 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(123, 919) = 113037

GCD(123, 919) = ( 123 x 919 ) / 113037

GCD(123, 919) = 113037 / 113037

GCD(123, 919) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

GCD of 123, 919, 802, 729 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 123, 919, 802, 729

1. What is the GCD of 123, 919, 802, 729?

GCD of 123, 919, 802, 729 is 1


2. Where do I get the detailed procedure to find GCD of 123, 919, 802, 729?

You can find a detailed procedure to find GCD of 123, 919, 802, 729 on our page.


3. How to find GCD of 123, 919, 802, 729 on a calculator?

You can find the GCD of 123, 919, 802, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.