GCD of 196, 638, 817 Calculator

Given Input numbers are 196, 638, 817

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 196, 638, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 638, 817 is 1.

Therefore, GCD of numbers 196, 638, 817 is 1

Given Input Data is 196, 638, 817

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 817 is 19 x 43

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(196, 638) = 62524

GCD(196, 638) = ( 196 x 638 ) / 62524

GCD(196, 638) = 125048 / 62524

GCD(196, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 817

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

LCM(2, 817) = 1634

GCD(2, 817) = ( 2 x 817 ) / 1634

GCD(2, 817) = 1634 / 1634

GCD(2, 817) = 1

GCD of 196, 638, 817 is 1

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1. What is the GCD of 196, 638, 817?

GCD of 196, 638, 817 is 1

2. Where do I get the detailed procedure to find GCD of 196, 638, 817?

You can find a detailed procedure to find GCD of 196, 638, 817 on our page.

3. How to find GCD of 196, 638, 817 on a calculator?

You can find the GCD of 196, 638, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.