GCD of 299, 829, 348, 792 Calculator

Given Input numbers are 299, 829, 348, 792

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 299, 829, 348, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 829, 348, 792 is 1.

Therefore, GCD of numbers 299, 829, 348, 792 is 1

Given Input Data is 299, 829, 348, 792

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 829 is 829

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(299, 829) = 247871

GCD(299, 829) = ( 299 x 829 ) / 247871

GCD(299, 829) = 247871 / 247871

GCD(299, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 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 299, 829, 348, 792 is 1

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1. What is the GCD of 299, 829, 348, 792?

GCD of 299, 829, 348, 792 is 1

2. Where do I get the detailed procedure to find GCD of 299, 829, 348, 792?

You can find a detailed procedure to find GCD of 299, 829, 348, 792 on our page.

3. How to find GCD of 299, 829, 348, 792 on a calculator?

You can find the GCD of 299, 829, 348, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.