GCD of 31, 307, 990, 199 Calculator

Given Input numbers are 31, 307, 990, 199

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 199

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

1, 199

Greatest Common Divisior

We found the divisors of 31, 307, 990, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 307, 990, 199 is 1.

Therefore, GCD of numbers 31, 307, 990, 199 is 1

Given Input Data is 31, 307, 990, 199

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

Prime Factorization of 31 is 31

Prime Factorization of 307 is 307

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 199 is 199

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(31, 307) = 9517

GCD(31, 307) = ( 31 x 307 ) / 9517

GCD(31, 307) = 9517 / 9517

GCD(31, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 31, 307, 990, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 908, 117, 938
• GCD of 12, 382, 125, 236
• GCD of 44, 957, 857, 516
• GCD of 17, 245, 655, 303
• GCD of 24, 214, 325, 714

1. What is the GCD of 31, 307, 990, 199?

GCD of 31, 307, 990, 199 is 1

2. Where do I get the detailed procedure to find GCD of 31, 307, 990, 199?

You can find a detailed procedure to find GCD of 31, 307, 990, 199 on our page.

3. How to find GCD of 31, 307, 990, 199 on a calculator?

You can find the GCD of 31, 307, 990, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.