GCD of 998, 319, 842 Calculator

Given Input numbers are 998, 319, 842

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 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 998, 319, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 319, 842 is 1.

Therefore, GCD of numbers 998, 319, 842 is 1

Given Input Data is 998, 319, 842

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 319 is 11 x 29

Prime Factorization of 842 is 2 x 421

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, 319) = 318362

GCD(998, 319) = ( 998 x 319 ) / 318362

GCD(998, 319) = 318362 / 318362

GCD(998, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 998, 319, 842 is 1

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1. What is the GCD of 998, 319, 842?

GCD of 998, 319, 842 is 1

2. Where do I get the detailed procedure to find GCD of 998, 319, 842?

You can find a detailed procedure to find GCD of 998, 319, 842 on our page.

3. How to find GCD of 998, 319, 842 on a calculator?

You can find the GCD of 998, 319, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.