GCD of 196, 774, 808, 643 Calculator

Given Input numbers are 196, 774, 808, 643

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 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 196, 774, 808, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 774, 808, 643 is 1.

Therefore, GCD of numbers 196, 774, 808, 643 is 1

Given Input Data is 196, 774, 808, 643

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 774 is 2 x 3 x 3 x 43

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 643 is 643

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, 774) = 75852

GCD(196, 774) = ( 196 x 774 ) / 75852

GCD(196, 774) = 151704 / 75852

GCD(196, 774) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 808

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

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

GCD(2, 808) = 1616 / 808

GCD(2, 808) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 643

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

LCM(2, 643) = 1286

GCD(2, 643) = ( 2 x 643 ) / 1286

GCD(2, 643) = 1286 / 1286

GCD(2, 643) = 1

GCD of 196, 774, 808, 643 is 1

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1. What is the GCD of 196, 774, 808, 643?

GCD of 196, 774, 808, 643 is 1

2. Where do I get the detailed procedure to find GCD of 196, 774, 808, 643?

You can find a detailed procedure to find GCD of 196, 774, 808, 643 on our page.

3. How to find GCD of 196, 774, 808, 643 on a calculator?

You can find the GCD of 196, 774, 808, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.