GCD of 344, 730, 116, 191 Calculator

Given Input numbers are 344, 730, 116, 191

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 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Greatest Common Divisior

We found the divisors of 344, 730, 116, 191 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 730, 116, 191 is 1.

Therefore, GCD of numbers 344, 730, 116, 191 is 1

Given Input Data is 344, 730, 116, 191

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 730 is 2 x 5 x 73

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 191 is 191

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, 730) = 125560

GCD(344, 730) = ( 344 x 730 ) / 125560

GCD(344, 730) = 251120 / 125560

GCD(344, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 116

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

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

GCD(2, 116) = 232 / 116

GCD(2, 116) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 191

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

LCM(2, 191) = 382

GCD(2, 191) = ( 2 x 191 ) / 382

GCD(2, 191) = 382 / 382

GCD(2, 191) = 1

GCD of 344, 730, 116, 191 is 1

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1. What is the GCD of 344, 730, 116, 191?

GCD of 344, 730, 116, 191 is 1

2. Where do I get the detailed procedure to find GCD of 344, 730, 116, 191?

You can find a detailed procedure to find GCD of 344, 730, 116, 191 on our page.

3. How to find GCD of 344, 730, 116, 191 on a calculator?

You can find the GCD of 344, 730, 116, 191 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.