GCD of 138, 481, 17, 898 Calculator

Given Input numbers are 138, 481, 17, 898

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 138, 481, 17, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 481, 17, 898 is 1.

Therefore, GCD of numbers 138, 481, 17, 898 is 1

Given Input Data is 138, 481, 17, 898

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 481 is 13 x 37

Prime Factorization of 17 is 17

Prime Factorization of 898 is 2 x 449

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(138, 481) = 66378

GCD(138, 481) = ( 138 x 481 ) / 66378

GCD(138, 481) = 66378 / 66378

GCD(138, 481) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 138, 481, 17, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 342, 38, 702
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• GCD of 400, 782, 23, 344

1. What is the GCD of 138, 481, 17, 898?

GCD of 138, 481, 17, 898 is 1

2. Where do I get the detailed procedure to find GCD of 138, 481, 17, 898?

You can find a detailed procedure to find GCD of 138, 481, 17, 898 on our page.

3. How to find GCD of 138, 481, 17, 898 on a calculator?

You can find the GCD of 138, 481, 17, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.