GCD of 199, 984, 983, 303 Calculator

Given Input numbers are 199, 984, 983, 303

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 199, 984, 983, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 984, 983, 303 is 1.

Therefore, GCD of numbers 199, 984, 983, 303 is 1

Given Input Data is 199, 984, 983, 303

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

Prime Factorization of 199 is 199

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 983 is 983

Prime Factorization of 303 is 3 x 101

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(199, 984) = 195816

GCD(199, 984) = ( 199 x 984 ) / 195816

GCD(199, 984) = 195816 / 195816

GCD(199, 984) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

GCD of 199, 984, 983, 303 is 1

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1. What is the GCD of 199, 984, 983, 303?

GCD of 199, 984, 983, 303 is 1

2. Where do I get the detailed procedure to find GCD of 199, 984, 983, 303?

You can find a detailed procedure to find GCD of 199, 984, 983, 303 on our page.

3. How to find GCD of 199, 984, 983, 303 on a calculator?

You can find the GCD of 199, 984, 983, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.