GCD of 395, 415, 796 Calculator

Given Input numbers are 395, 415, 796

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 395, 415, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 415, 796 is 1.

Therefore, GCD of numbers 395, 415, 796 is 1

Given Input Data is 395, 415, 796

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 415 is 5 x 83

Prime Factorization of 796 is 2 x 2 x 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(395, 415) = 32785

GCD(395, 415) = ( 395 x 415 ) / 32785

GCD(395, 415) = 163925 / 32785

GCD(395, 415) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 796

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

LCM(5, 796) = 3980

GCD(5, 796) = ( 5 x 796 ) / 3980

GCD(5, 796) = 3980 / 3980

GCD(5, 796) = 1

GCD of 395, 415, 796 is 1

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1. What is the GCD of 395, 415, 796?

GCD of 395, 415, 796 is 1

2. Where do I get the detailed procedure to find GCD of 395, 415, 796?

You can find a detailed procedure to find GCD of 395, 415, 796 on our page.

3. How to find GCD of 395, 415, 796 on a calculator?

You can find the GCD of 395, 415, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.