GCD of 398, 886, 15, 489 Calculator

Given Input numbers are 398, 886, 15, 489

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 398, 886, 15, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 886, 15, 489 is 1.

Therefore, GCD of numbers 398, 886, 15, 489 is 1

Given Input Data is 398, 886, 15, 489

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 886 is 2 x 443

Prime Factorization of 15 is 3 x 5

Prime Factorization of 489 is 3 x 163

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(398, 886) = 176314

GCD(398, 886) = ( 398 x 886 ) / 176314

GCD(398, 886) = 352628 / 176314

GCD(398, 886) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 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 398, 886, 15, 489 is 1

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1. What is the GCD of 398, 886, 15, 489?

GCD of 398, 886, 15, 489 is 1

2. Where do I get the detailed procedure to find GCD of 398, 886, 15, 489?

You can find a detailed procedure to find GCD of 398, 886, 15, 489 on our page.

3. How to find GCD of 398, 886, 15, 489 on a calculator?

You can find the GCD of 398, 886, 15, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.