GCD of 398, 805, 813 Calculator

Given Input numbers are 398, 805, 813

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

Divisors of 398

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

1, 2, 199, 398

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 398, 805, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 805, 813 is 1.

Therefore, GCD of numbers 398, 805, 813 is 1

Given Input Data is 398, 805, 813

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 813 is 3 x 271

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(398, 805) = 320390

GCD(398, 805) = ( 398 x 805 ) / 320390

GCD(398, 805) = 320390 / 320390

GCD(398, 805) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 398, 805, 813 is 1

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1. What is the GCD of 398, 805, 813?

GCD of 398, 805, 813 is 1

2. Where do I get the detailed procedure to find GCD of 398, 805, 813?

You can find a detailed procedure to find GCD of 398, 805, 813 on our page.

3. How to find GCD of 398, 805, 813 on a calculator?

You can find the GCD of 398, 805, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.