GCD of 189, 327, 41, 957 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 189, 327, 41, 957 i.e. 1 largest integer that divides all the numbers equally.

GCD of 189, 327, 41, 957 is 1

GCD(189, 327, 41, 957) = 1

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

GCD of

GCD of numbers 189, 327, 41, 957 is 1

GCD(189, 327, 41, 957) = 1

GCD of 189,327,41,957 Calculator

GCDof 189,327,41,957 is 1

Given Input numbers are 189, 327, 41, 957

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

Divisors of 189

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

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Greatest Common Divisior

We found the divisors of 189, 327, 41, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 327, 41, 957 is 1.

Therefore, GCD of numbers 189, 327, 41, 957 is 1

Finding GCD of 189, 327, 41, 957 using Prime Factorization

Given Input Data is 189, 327, 41, 957

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

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 41 is 41

Prime Factorization of 957 is 3 x 11 x 29

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

Finding GCD of 189, 327, 41, 957 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(189, 327) = 20601

GCD(189, 327) = ( 189 x 327 ) / 20601

GCD(189, 327) = 61803 / 20601

GCD(189, 327) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

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

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 1

GCD of 189, 327, 41, 957 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 189, 327, 41, 957

1. What is the GCD of 189, 327, 41, 957?

GCD of 189, 327, 41, 957 is 1


2. Where do I get the detailed procedure to find GCD of 189, 327, 41, 957?

You can find a detailed procedure to find GCD of 189, 327, 41, 957 on our page.


3. How to find GCD of 189, 327, 41, 957 on a calculator?

You can find the GCD of 189, 327, 41, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.