GCD of 370, 311, 12, 198 Calculator

Given Input numbers are 370, 311, 12, 198

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 311

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

1, 311

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

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 370, 311, 12, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 311, 12, 198 is 1.

Therefore, GCD of numbers 370, 311, 12, 198 is 1

Given Input Data is 370, 311, 12, 198

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 311 is 311

Prime Factorization of 12 is 2 x 2 x 3

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(370, 311) = 115070

GCD(370, 311) = ( 370 x 311 ) / 115070

GCD(370, 311) = 115070 / 115070

GCD(370, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 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 370, 311, 12, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 521, 80, 341
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• GCD of 541, 527, 97, 908
• GCD of 839, 124, 70, 405
• GCD of 172, 191, 18, 899

1. What is the GCD of 370, 311, 12, 198?

GCD of 370, 311, 12, 198 is 1

2. Where do I get the detailed procedure to find GCD of 370, 311, 12, 198?

You can find a detailed procedure to find GCD of 370, 311, 12, 198 on our page.

3. How to find GCD of 370, 311, 12, 198 on a calculator?

You can find the GCD of 370, 311, 12, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.