GCD of 71, 195, 489, 266 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 71, 195, 489, 266 i.e. 1 largest integer that divides all the numbers equally.

GCD of 71, 195, 489, 266 is 1

GCD(71, 195, 489, 266) = 1

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

GCD of

GCD of numbers 71, 195, 489, 266 is 1

GCD(71, 195, 489, 266) = 1

GCD of 71,195,489,266 Calculator

GCDof 71,195,489,266 is 1

Given Input numbers are 71, 195, 489, 266

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 71, 195, 489, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 195, 489, 266 is 1.

Therefore, GCD of numbers 71, 195, 489, 266 is 1

Finding GCD of 71, 195, 489, 266 using Prime Factorization

Given Input Data is 71, 195, 489, 266

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

Prime Factorization of 71 is 71

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 489 is 3 x 163

Prime Factorization of 266 is 2 x 7 x 19

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

Finding GCD of 71, 195, 489, 266 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(71, 195) = 13845

GCD(71, 195) = ( 71 x 195 ) / 13845

GCD(71, 195) = 13845 / 13845

GCD(71, 195) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

GCD of 71, 195, 489, 266 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 71, 195, 489, 266

1. What is the GCD of 71, 195, 489, 266?

GCD of 71, 195, 489, 266 is 1


2. Where do I get the detailed procedure to find GCD of 71, 195, 489, 266?

You can find a detailed procedure to find GCD of 71, 195, 489, 266 on our page.


3. How to find GCD of 71, 195, 489, 266 on a calculator?

You can find the GCD of 71, 195, 489, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.