GCD of 538, 398, 284, 199 Calculator

Given Input numbers are 538, 398, 284, 199

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 199

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

1, 199

Greatest Common Divisior

We found the divisors of 538, 398, 284, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 398, 284, 199 is 1.

Therefore, GCD of numbers 538, 398, 284, 199 is 1

Given Input Data is 538, 398, 284, 199

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 398 is 2 x 199

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 199 is 199

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(538, 398) = 107062

GCD(538, 398) = ( 538 x 398 ) / 107062

GCD(538, 398) = 214124 / 107062

GCD(538, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 284

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

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

GCD(2, 284) = 568 / 284

GCD(2, 284) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 199

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

LCM(2, 199) = 398

GCD(2, 199) = ( 2 x 199 ) / 398

GCD(2, 199) = 398 / 398

GCD(2, 199) = 1

GCD of 538, 398, 284, 199 is 1

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• GCD of 922, 462, 627, 462
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1. What is the GCD of 538, 398, 284, 199?

GCD of 538, 398, 284, 199 is 1

2. Where do I get the detailed procedure to find GCD of 538, 398, 284, 199?

You can find a detailed procedure to find GCD of 538, 398, 284, 199 on our page.

3. How to find GCD of 538, 398, 284, 199 on a calculator?

You can find the GCD of 538, 398, 284, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.