GCD of 195, 585, 49, 489 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 195, 585, 49, 489 i.e. 1 largest integer that divides all the numbers equally.

GCD of 195, 585, 49, 489 is 1

GCD(195, 585, 49, 489) = 1

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

GCD of

GCD of numbers 195, 585, 49, 489 is 1

GCD(195, 585, 49, 489) = 1

GCD of 195,585,49,489 Calculator

GCDof 195,585,49,489 is 1

Given Input numbers are 195, 585, 49, 489

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

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 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 489

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

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 195, 585, 49, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 585, 49, 489 is 1.

Therefore, GCD of numbers 195, 585, 49, 489 is 1

Finding GCD of 195, 585, 49, 489 using Prime Factorization

Given Input Data is 195, 585, 49, 489

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 49 is 7 x 7

Prime Factorization of 489 is 3 x 163

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

Finding GCD of 195, 585, 49, 489 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(195, 585) = 585

GCD(195, 585) = ( 195 x 585 ) / 585

GCD(195, 585) = 114075 / 585

GCD(195, 585) = 195


Step2:

Here we consider the GCD from the above i.e. 195 as first number and the next as 49

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

LCM(195, 49) = 9555

GCD(195, 49) = ( 195 x 49 ) / 9555

GCD(195, 49) = 9555 / 9555

GCD(195, 49) = 1


Step3:

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

GCD of 195, 585, 49, 489 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 195, 585, 49, 489

1. What is the GCD of 195, 585, 49, 489?

GCD of 195, 585, 49, 489 is 1


2. Where do I get the detailed procedure to find GCD of 195, 585, 49, 489?

You can find a detailed procedure to find GCD of 195, 585, 49, 489 on our page.


3. How to find GCD of 195, 585, 49, 489 on a calculator?

You can find the GCD of 195, 585, 49, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.