GCD of 808, 226, 445, 294 Calculator

Given Input numbers are 808, 226, 445, 294

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 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 808, 226, 445, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 226, 445, 294 is 1.

Therefore, GCD of numbers 808, 226, 445, 294 is 1

Given Input Data is 808, 226, 445, 294

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 226 is 2 x 113

Prime Factorization of 445 is 5 x 89

Prime Factorization of 294 is 2 x 3 x 7 x 7

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, 226) = 91304

GCD(808, 226) = ( 808 x 226 ) / 91304

GCD(808, 226) = 182608 / 91304

GCD(808, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 445

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

LCM(2, 445) = 890

GCD(2, 445) = ( 2 x 445 ) / 890

GCD(2, 445) = 890 / 890

GCD(2, 445) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 808, 226, 445, 294 is 1

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1. What is the GCD of 808, 226, 445, 294?

GCD of 808, 226, 445, 294 is 1

2. Where do I get the detailed procedure to find GCD of 808, 226, 445, 294?

You can find a detailed procedure to find GCD of 808, 226, 445, 294 on our page.

3. How to find GCD of 808, 226, 445, 294 on a calculator?

You can find the GCD of 808, 226, 445, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.