GCD of 199, 472, 281, 406 Calculator

Given Input numbers are 199, 472, 281, 406

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 199, 472, 281, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 472, 281, 406 is 1.

Therefore, GCD of numbers 199, 472, 281, 406 is 1

Given Input Data is 199, 472, 281, 406

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

Prime Factorization of 199 is 199

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 281 is 281

Prime Factorization of 406 is 2 x 7 x 29

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, 472) = 93928

GCD(199, 472) = ( 199 x 472 ) / 93928

GCD(199, 472) = 93928 / 93928

GCD(199, 472) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 281

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

LCM(1, 281) = 281

GCD(1, 281) = ( 1 x 281 ) / 281

GCD(1, 281) = 281 / 281

GCD(1, 281) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 199, 472, 281, 406 is 1

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1. What is the GCD of 199, 472, 281, 406?

GCD of 199, 472, 281, 406 is 1

2. Where do I get the detailed procedure to find GCD of 199, 472, 281, 406?

You can find a detailed procedure to find GCD of 199, 472, 281, 406 on our page.

3. How to find GCD of 199, 472, 281, 406 on a calculator?

You can find the GCD of 199, 472, 281, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.