GCD of 199, 842, 218, 411 Calculator

Given Input numbers are 199, 842, 218, 411

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Greatest Common Divisior

We found the divisors of 199, 842, 218, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 842, 218, 411 is 1.

Therefore, GCD of numbers 199, 842, 218, 411 is 1

Given Input Data is 199, 842, 218, 411

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

Prime Factorization of 199 is 199

Prime Factorization of 842 is 2 x 421

Prime Factorization of 218 is 2 x 109

Prime Factorization of 411 is 3 x 137

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, 842) = 167558

GCD(199, 842) = ( 199 x 842 ) / 167558

GCD(199, 842) = 167558 / 167558

GCD(199, 842) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 411

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

LCM(1, 411) = 411

GCD(1, 411) = ( 1 x 411 ) / 411

GCD(1, 411) = 411 / 411

GCD(1, 411) = 1

GCD of 199, 842, 218, 411 is 1

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1. What is the GCD of 199, 842, 218, 411?

GCD of 199, 842, 218, 411 is 1

2. Where do I get the detailed procedure to find GCD of 199, 842, 218, 411?

You can find a detailed procedure to find GCD of 199, 842, 218, 411 on our page.

3. How to find GCD of 199, 842, 218, 411 on a calculator?

You can find the GCD of 199, 842, 218, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.