GCD of 872, 351, 189 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 872, 351, 189 i.e. 1 largest integer that divides all the numbers equally.

GCD of 872, 351, 189 is 1

GCD(872, 351, 189) = 1

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

GCD of

GCD of numbers 872, 351, 189 is 1

GCD(872, 351, 189) = 1

GCD of 872,351,189 Calculator

GCDof 872,351,189 is 1

Given Input numbers are 872, 351, 189

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 872, 351, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 351, 189 is 1.

Therefore, GCD of numbers 872, 351, 189 is 1

Finding GCD of 872, 351, 189 using Prime Factorization

Given Input Data is 872, 351, 189

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 189 is 3 x 3 x 3 x 7

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

Finding GCD of 872, 351, 189 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(872, 351) = 306072

GCD(872, 351) = ( 872 x 351 ) / 306072

GCD(872, 351) = 306072 / 306072

GCD(872, 351) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 872, 351, 189 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 872, 351, 189

1. What is the GCD of 872, 351, 189?

GCD of 872, 351, 189 is 1


2. Where do I get the detailed procedure to find GCD of 872, 351, 189?

You can find a detailed procedure to find GCD of 872, 351, 189 on our page.


3. How to find GCD of 872, 351, 189 on a calculator?

You can find the GCD of 872, 351, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.