GCD of 115, 625, 489, 130 Calculator

Given Input numbers are 115, 625, 489, 130

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 489

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

1, 3, 163, 489

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 115, 625, 489, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 625, 489, 130 is 1.

Therefore, GCD of numbers 115, 625, 489, 130 is 1

Given Input Data is 115, 625, 489, 130

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 489 is 3 x 163

Prime Factorization of 130 is 2 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(115, 625) = 14375

GCD(115, 625) = ( 115 x 625 ) / 14375

GCD(115, 625) = 71875 / 14375

GCD(115, 625) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 489

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

LCM(5, 489) = 2445

GCD(5, 489) = ( 5 x 489 ) / 2445

GCD(5, 489) = 2445 / 2445

GCD(5, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 115, 625, 489, 130 is 1

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1. What is the GCD of 115, 625, 489, 130?

GCD of 115, 625, 489, 130 is 1

2. Where do I get the detailed procedure to find GCD of 115, 625, 489, 130?

You can find a detailed procedure to find GCD of 115, 625, 489, 130 on our page.

3. How to find GCD of 115, 625, 489, 130 on a calculator?

You can find the GCD of 115, 625, 489, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.