GCD of 373, 198, 306, 992 Calculator

Given Input numbers are 373, 198, 306, 992

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

Divisors of 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 373, 198, 306, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 373, 198, 306, 992 is 1.

Therefore, GCD of numbers 373, 198, 306, 992 is 1

Given Input Data is 373, 198, 306, 992

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

Prime Factorization of 373 is 373

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(373, 198) = 73854

GCD(373, 198) = ( 373 x 198 ) / 73854

GCD(373, 198) = 73854 / 73854

GCD(373, 198) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 373, 198, 306, 992 is 1

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1. What is the GCD of 373, 198, 306, 992?

GCD of 373, 198, 306, 992 is 1

2. Where do I get the detailed procedure to find GCD of 373, 198, 306, 992?

You can find a detailed procedure to find GCD of 373, 198, 306, 992 on our page.

3. How to find GCD of 373, 198, 306, 992 on a calculator?

You can find the GCD of 373, 198, 306, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.