GCD of 195, 792, 344, 296 Calculator

Given Input numbers are 195, 792, 344, 296

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

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 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 195, 792, 344, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 792, 344, 296 is 1.

Therefore, GCD of numbers 195, 792, 344, 296 is 1

Given Input Data is 195, 792, 344, 296

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

Prime Factorization of 195 is 3 x 5 x 13

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(195, 792) = 51480

GCD(195, 792) = ( 195 x 792 ) / 51480

GCD(195, 792) = 154440 / 51480

GCD(195, 792) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 344

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

LCM(3, 344) = 1032

GCD(3, 344) = ( 3 x 344 ) / 1032

GCD(3, 344) = 1032 / 1032

GCD(3, 344) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 195, 792, 344, 296 is 1

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1. What is the GCD of 195, 792, 344, 296?

GCD of 195, 792, 344, 296 is 1

2. Where do I get the detailed procedure to find GCD of 195, 792, 344, 296?

You can find a detailed procedure to find GCD of 195, 792, 344, 296 on our page.

3. How to find GCD of 195, 792, 344, 296 on a calculator?

You can find the GCD of 195, 792, 344, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.