GCD of 792, 447, 797, 309 Calculator

Given Input numbers are 792, 447, 797, 309

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 792, 447, 797, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 447, 797, 309 is 1.

Therefore, GCD of numbers 792, 447, 797, 309 is 1

Given Input Data is 792, 447, 797, 309

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 447 is 3 x 149

Prime Factorization of 797 is 797

Prime Factorization of 309 is 3 x 103

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(792, 447) = 118008

GCD(792, 447) = ( 792 x 447 ) / 118008

GCD(792, 447) = 354024 / 118008

GCD(792, 447) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 797

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

LCM(3, 797) = 2391

GCD(3, 797) = ( 3 x 797 ) / 2391

GCD(3, 797) = 2391 / 2391

GCD(3, 797) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 792, 447, 797, 309 is 1

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1. What is the GCD of 792, 447, 797, 309?

GCD of 792, 447, 797, 309 is 1

2. Where do I get the detailed procedure to find GCD of 792, 447, 797, 309?

You can find a detailed procedure to find GCD of 792, 447, 797, 309 on our page.

3. How to find GCD of 792, 447, 797, 309 on a calculator?

You can find the GCD of 792, 447, 797, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.