GCD of 344, 187, 444, 798 Calculator

Given Input numbers are 344, 187, 444, 798

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 344, 187, 444, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 187, 444, 798 is 1.

Therefore, GCD of numbers 344, 187, 444, 798 is 1

Given Input Data is 344, 187, 444, 798

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 187 is 11 x 17

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 798 is 2 x 3 x 7 x 19

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(344, 187) = 64328

GCD(344, 187) = ( 344 x 187 ) / 64328

GCD(344, 187) = 64328 / 64328

GCD(344, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 444

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

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 344, 187, 444, 798 is 1

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1. What is the GCD of 344, 187, 444, 798?

GCD of 344, 187, 444, 798 is 1

2. Where do I get the detailed procedure to find GCD of 344, 187, 444, 798?

You can find a detailed procedure to find GCD of 344, 187, 444, 798 on our page.

3. How to find GCD of 344, 187, 444, 798 on a calculator?

You can find the GCD of 344, 187, 444, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.