GCD of 489, 237, 71, 195 Calculator

Given Input numbers are 489, 237, 71, 195

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

Divisors of 489

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

1, 3, 163, 489

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

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

Greatest Common Divisior

We found the divisors of 489, 237, 71, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 237, 71, 195 is 1.

Therefore, GCD of numbers 489, 237, 71, 195 is 1

Given Input Data is 489, 237, 71, 195

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 237 is 3 x 79

Prime Factorization of 71 is 71

Prime Factorization of 195 is 3 x 5 x 13

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

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(489, 237) = 38631

GCD(489, 237) = ( 489 x 237 ) / 38631

GCD(489, 237) = 115893 / 38631

GCD(489, 237) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 71

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

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

GCD(3, 71) = 213 / 213

GCD(3, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 195

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

LCM(1, 195) = 195

GCD(1, 195) = ( 1 x 195 ) / 195

GCD(1, 195) = 195 / 195

GCD(1, 195) = 1

GCD of 489, 237, 71, 195 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 791, 991, 18, 335
• GCD of 753, 393, 69, 515
• GCD of 168, 980, 41, 632
• GCD of 105, 348, 66, 835
• GCD of 773, 518, 95, 669

1. What is the GCD of 489, 237, 71, 195?

GCD of 489, 237, 71, 195 is 1

2. Where do I get the detailed procedure to find GCD of 489, 237, 71, 195?

You can find a detailed procedure to find GCD of 489, 237, 71, 195 on our page.

3. How to find GCD of 489, 237, 71, 195 on a calculator?

You can find the GCD of 489, 237, 71, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.