GCD of 199, 338, 392, 716 Calculator

Given Input numbers are 199, 338, 392, 716

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 199, 338, 392, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 338, 392, 716 is 1.

Therefore, GCD of numbers 199, 338, 392, 716 is 1

Given Input Data is 199, 338, 392, 716

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

Prime Factorization of 199 is 199

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 716 is 2 x 2 x 179

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, 338) = 67262

GCD(199, 338) = ( 199 x 338 ) / 67262

GCD(199, 338) = 67262 / 67262

GCD(199, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 199, 338, 392, 716 is 1

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1. What is the GCD of 199, 338, 392, 716?

GCD of 199, 338, 392, 716 is 1

2. Where do I get the detailed procedure to find GCD of 199, 338, 392, 716?

You can find a detailed procedure to find GCD of 199, 338, 392, 716 on our page.

3. How to find GCD of 199, 338, 392, 716 on a calculator?

You can find the GCD of 199, 338, 392, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.