GCD of 798, 434, 668, 227 Calculator

Given Input numbers are 798, 434, 668, 227

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Greatest Common Divisior

We found the divisors of 798, 434, 668, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 434, 668, 227 is 1.

Therefore, GCD of numbers 798, 434, 668, 227 is 1

Given Input Data is 798, 434, 668, 227

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 227 is 227

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(798, 434) = 24738

GCD(798, 434) = ( 798 x 434 ) / 24738

GCD(798, 434) = 346332 / 24738

GCD(798, 434) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 668

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

LCM(14, 668) = 4676

GCD(14, 668) = ( 14 x 668 ) / 4676

GCD(14, 668) = 9352 / 4676

GCD(14, 668) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 227

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

LCM(2, 227) = 454

GCD(2, 227) = ( 2 x 227 ) / 454

GCD(2, 227) = 454 / 454

GCD(2, 227) = 1

GCD of 798, 434, 668, 227 is 1

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1. What is the GCD of 798, 434, 668, 227?

GCD of 798, 434, 668, 227 is 1

2. Where do I get the detailed procedure to find GCD of 798, 434, 668, 227?

You can find a detailed procedure to find GCD of 798, 434, 668, 227 on our page.

3. How to find GCD of 798, 434, 668, 227 on a calculator?

You can find the GCD of 798, 434, 668, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.