GCD of 338, 973, 459, 792 Calculator

Given Input numbers are 338, 973, 459, 792

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

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

Greatest Common Divisior

We found the divisors of 338, 973, 459, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 973, 459, 792 is 1.

Therefore, GCD of numbers 338, 973, 459, 792 is 1

Given Input Data is 338, 973, 459, 792

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 973 is 7 x 139

Prime Factorization of 459 is 3 x 3 x 3 x 17

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

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(338, 973) = 328874

GCD(338, 973) = ( 338 x 973 ) / 328874

GCD(338, 973) = 328874 / 328874

GCD(338, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 792

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

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

GCD(1, 792) = 792 / 792

GCD(1, 792) = 1

GCD of 338, 973, 459, 792 is 1

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1. What is the GCD of 338, 973, 459, 792?

GCD of 338, 973, 459, 792 is 1

2. Where do I get the detailed procedure to find GCD of 338, 973, 459, 792?

You can find a detailed procedure to find GCD of 338, 973, 459, 792 on our page.

3. How to find GCD of 338, 973, 459, 792 on a calculator?

You can find the GCD of 338, 973, 459, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.