GCD of 923, 343, 725 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 923, 343, 725 i.e. 1 largest integer that divides all the numbers equally.

GCD of 923, 343, 725 is 1

GCD(923, 343, 725) = 1

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

GCD of

GCD of numbers 923, 343, 725 is 1

GCD(923, 343, 725) = 1

GCD of 923,343,725 Calculator

GCDof 923,343,725 is 1

Given Input numbers are 923, 343, 725

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

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 725

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

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 923, 343, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 343, 725 is 1.

Therefore, GCD of numbers 923, 343, 725 is 1

Finding GCD of 923, 343, 725 using Prime Factorization

Given Input Data is 923, 343, 725

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

Prime Factorization of 923 is 13 x 71

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 725 is 5 x 5 x 29

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

Finding GCD of 923, 343, 725 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(923, 343) = 316589

GCD(923, 343) = ( 923 x 343 ) / 316589

GCD(923, 343) = 316589 / 316589

GCD(923, 343) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 923, 343, 725 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 923, 343, 725

1. What is the GCD of 923, 343, 725?

GCD of 923, 343, 725 is 1


2. Where do I get the detailed procedure to find GCD of 923, 343, 725?

You can find a detailed procedure to find GCD of 923, 343, 725 on our page.


3. How to find GCD of 923, 343, 725 on a calculator?

You can find the GCD of 923, 343, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.