GCD of 311, 980, 73, 198 Calculator

Given Input numbers are 311, 980, 73, 198

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 311, 980, 73, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 980, 73, 198 is 1.

Therefore, GCD of numbers 311, 980, 73, 198 is 1

Given Input Data is 311, 980, 73, 198

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

Prime Factorization of 311 is 311

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 73 is 73

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(311, 980) = 304780

GCD(311, 980) = ( 311 x 980 ) / 304780

GCD(311, 980) = 304780 / 304780

GCD(311, 980) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 311, 980, 73, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 714, 33, 686
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• GCD of 909, 222, 65, 900
• GCD of 444, 493, 36, 493
• GCD of 656, 207, 97, 666

1. What is the GCD of 311, 980, 73, 198?

GCD of 311, 980, 73, 198 is 1

2. Where do I get the detailed procedure to find GCD of 311, 980, 73, 198?

You can find a detailed procedure to find GCD of 311, 980, 73, 198 on our page.

3. How to find GCD of 311, 980, 73, 198 on a calculator?

You can find the GCD of 311, 980, 73, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.