GCD of 199, 939, 764, 242 Calculator

Given Input numbers are 199, 939, 764, 242

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 199, 939, 764, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 939, 764, 242 is 1.

Therefore, GCD of numbers 199, 939, 764, 242 is 1

Given Input Data is 199, 939, 764, 242

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

Prime Factorization of 199 is 199

Prime Factorization of 939 is 3 x 313

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 242 is 2 x 11 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(199, 939) = 186861

GCD(199, 939) = ( 199 x 939 ) / 186861

GCD(199, 939) = 186861 / 186861

GCD(199, 939) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 199, 939, 764, 242 is 1

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1. What is the GCD of 199, 939, 764, 242?

GCD of 199, 939, 764, 242 is 1

2. Where do I get the detailed procedure to find GCD of 199, 939, 764, 242?

You can find a detailed procedure to find GCD of 199, 939, 764, 242 on our page.

3. How to find GCD of 199, 939, 764, 242 on a calculator?

You can find the GCD of 199, 939, 764, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.