GCD of 998, 873, 599, 138 Calculator

Given Input numbers are 998, 873, 599, 138

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 138

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

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

Greatest Common Divisior

We found the divisors of 998, 873, 599, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 873, 599, 138 is 1.

Therefore, GCD of numbers 998, 873, 599, 138 is 1

Given Input Data is 998, 873, 599, 138

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 599 is 599

Prime Factorization of 138 is 2 x 3 x 23

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(998, 873) = 871254

GCD(998, 873) = ( 998 x 873 ) / 871254

GCD(998, 873) = 871254 / 871254

GCD(998, 873) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 599

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

LCM(1, 599) = 599

GCD(1, 599) = ( 1 x 599 ) / 599

GCD(1, 599) = 599 / 599

GCD(1, 599) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 998, 873, 599, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 362, 707, 562
• GCD of 123, 674, 386, 787
• GCD of 464, 419, 185, 787
• GCD of 203, 823, 730, 512
• GCD of 478, 358, 925, 172

1. What is the GCD of 998, 873, 599, 138?

GCD of 998, 873, 599, 138 is 1

2. Where do I get the detailed procedure to find GCD of 998, 873, 599, 138?

You can find a detailed procedure to find GCD of 998, 873, 599, 138 on our page.

3. How to find GCD of 998, 873, 599, 138 on a calculator?

You can find the GCD of 998, 873, 599, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.