GCD of 809, 806, 968, 234 Calculator

Given Input numbers are 809, 806, 968, 234

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 809, 806, 968, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 806, 968, 234 is 1.

Therefore, GCD of numbers 809, 806, 968, 234 is 1

Given Input Data is 809, 806, 968, 234

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

Prime Factorization of 809 is 809

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 234 is 2 x 3 x 3 x 13

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(809, 806) = 652054

GCD(809, 806) = ( 809 x 806 ) / 652054

GCD(809, 806) = 652054 / 652054

GCD(809, 806) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 809, 806, 968, 234 is 1

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1. What is the GCD of 809, 806, 968, 234?

GCD of 809, 806, 968, 234 is 1

2. Where do I get the detailed procedure to find GCD of 809, 806, 968, 234?

You can find a detailed procedure to find GCD of 809, 806, 968, 234 on our page.

3. How to find GCD of 809, 806, 968, 234 on a calculator?

You can find the GCD of 809, 806, 968, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.