GCD of 808, 966, 209 Calculator

Given Input numbers are 808, 966, 209

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

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 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 808, 966, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 966, 209 is 1.

Therefore, GCD of numbers 808, 966, 209 is 1

Given Input Data is 808, 966, 209

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

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 209 is 11 x 19

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(808, 966) = 390264

GCD(808, 966) = ( 808 x 966 ) / 390264

GCD(808, 966) = 780528 / 390264

GCD(808, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 209

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

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

GCD(2, 209) = 418 / 418

GCD(2, 209) = 1

GCD of 808, 966, 209 is 1

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1. What is the GCD of 808, 966, 209?

GCD of 808, 966, 209 is 1

2. Where do I get the detailed procedure to find GCD of 808, 966, 209?

You can find a detailed procedure to find GCD of 808, 966, 209 on our page.

3. How to find GCD of 808, 966, 209 on a calculator?

You can find the GCD of 808, 966, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.