GCD of 314, 609, 799 Calculator

Given Input numbers are 314, 609, 799

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Greatest Common Divisior

We found the divisors of 314, 609, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 609, 799 is 1.

Therefore, GCD of numbers 314, 609, 799 is 1

Given Input Data is 314, 609, 799

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 799 is 17 x 47

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(314, 609) = 191226

GCD(314, 609) = ( 314 x 609 ) / 191226

GCD(314, 609) = 191226 / 191226

GCD(314, 609) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 799

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

LCM(1, 799) = 799

GCD(1, 799) = ( 1 x 799 ) / 799

GCD(1, 799) = 799 / 799

GCD(1, 799) = 1

GCD of 314, 609, 799 is 1

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1. What is the GCD of 314, 609, 799?

GCD of 314, 609, 799 is 1

2. Where do I get the detailed procedure to find GCD of 314, 609, 799?

You can find a detailed procedure to find GCD of 314, 609, 799 on our page.

3. How to find GCD of 314, 609, 799 on a calculator?

You can find the GCD of 314, 609, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.