GCD of 728, 725, 123 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 728, 725, 123 i.e. 1 largest integer that divides all the numbers equally.

GCD of 728, 725, 123 is 1

GCD(728, 725, 123) = 1

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

GCD of

GCD of numbers 728, 725, 123 is 1

GCD(728, 725, 123) = 1

GCD of 728,725,123 Calculator

GCDof 728,725,123 is 1

Given Input numbers are 728, 725, 123

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 123

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

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 728, 725, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 725, 123 is 1.

Therefore, GCD of numbers 728, 725, 123 is 1

Finding GCD of 728, 725, 123 using Prime Factorization

Given Input Data is 728, 725, 123

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 123 is 3 x 41

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

Finding GCD of 728, 725, 123 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(728, 725) = 527800

GCD(728, 725) = ( 728 x 725 ) / 527800

GCD(728, 725) = 527800 / 527800

GCD(728, 725) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 728, 725, 123 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 728, 725, 123

1. What is the GCD of 728, 725, 123?

GCD of 728, 725, 123 is 1


2. Where do I get the detailed procedure to find GCD of 728, 725, 123?

You can find a detailed procedure to find GCD of 728, 725, 123 on our page.


3. How to find GCD of 728, 725, 123 on a calculator?

You can find the GCD of 728, 725, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.