GCD of 731, 172, 876 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 731, 172, 876 i.e. 1 largest integer that divides all the numbers equally.

GCD of 731, 172, 876 is 1

GCD(731, 172, 876) = 1

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

GCD of

GCD of numbers 731, 172, 876 is 1

GCD(731, 172, 876) = 1

GCD of 731,172,876 Calculator

GCDof 731,172,876 is 1

Given Input numbers are 731, 172, 876

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 731, 172, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 172, 876 is 1.

Therefore, GCD of numbers 731, 172, 876 is 1

Finding GCD of 731, 172, 876 using Prime Factorization

Given Input Data is 731, 172, 876

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 876 is 2 x 2 x 3 x 73

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

Finding GCD of 731, 172, 876 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(731, 172) = 2924

GCD(731, 172) = ( 731 x 172 ) / 2924

GCD(731, 172) = 125732 / 2924

GCD(731, 172) = 43


Step2:

Here we consider the GCD from the above i.e. 43 as first number and the next as 876

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

LCM(43, 876) = 37668

GCD(43, 876) = ( 43 x 876 ) / 37668

GCD(43, 876) = 37668 / 37668

GCD(43, 876) = 1

GCD of 731, 172, 876 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 731, 172, 876

1. What is the GCD of 731, 172, 876?

GCD of 731, 172, 876 is 1


2. Where do I get the detailed procedure to find GCD of 731, 172, 876?

You can find a detailed procedure to find GCD of 731, 172, 876 on our page.


3. How to find GCD of 731, 172, 876 on a calculator?

You can find the GCD of 731, 172, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.