GCD of 799, 314, 51, 324 Calculator

Given Input numbers are 799, 314, 51, 324

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

Divisors of 799

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

1, 17, 47, 799

Divisors of 314

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

1, 2, 157, 314

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 799, 314, 51, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 799, 314, 51, 324 is 1.

Therefore, GCD of numbers 799, 314, 51, 324 is 1

Given Input Data is 799, 314, 51, 324

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

Prime Factorization of 799 is 17 x 47

Prime Factorization of 314 is 2 x 157

Prime Factorization of 51 is 3 x 17

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(799, 314) = 250886

GCD(799, 314) = ( 799 x 314 ) / 250886

GCD(799, 314) = 250886 / 250886

GCD(799, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 799, 314, 51, 324 is 1

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1. What is the GCD of 799, 314, 51, 324?

GCD of 799, 314, 51, 324 is 1

2. Where do I get the detailed procedure to find GCD of 799, 314, 51, 324?

You can find a detailed procedure to find GCD of 799, 314, 51, 324 on our page.

3. How to find GCD of 799, 314, 51, 324 on a calculator?

You can find the GCD of 799, 314, 51, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.