GCD of 367, 756, 209, 191 Calculator

Given Input numbers are 367, 756, 209, 191

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

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

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 367, 756, 209, 191 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 756, 209, 191 is 1.

Therefore, GCD of numbers 367, 756, 209, 191 is 1

Given Input Data is 367, 756, 209, 191

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

Prime Factorization of 367 is 367

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 209 is 11 x 19

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(367, 756) = 277452

GCD(367, 756) = ( 367 x 756 ) / 277452

GCD(367, 756) = 277452 / 277452

GCD(367, 756) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 191

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

LCM(1, 191) = 191

GCD(1, 191) = ( 1 x 191 ) / 191

GCD(1, 191) = 191 / 191

GCD(1, 191) = 1

GCD of 367, 756, 209, 191 is 1

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1. What is the GCD of 367, 756, 209, 191?

GCD of 367, 756, 209, 191 is 1

2. Where do I get the detailed procedure to find GCD of 367, 756, 209, 191?

You can find a detailed procedure to find GCD of 367, 756, 209, 191 on our page.

3. How to find GCD of 367, 756, 209, 191 on a calculator?

You can find the GCD of 367, 756, 209, 191 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.