GCD of 796, 272, 361, 656 Calculator

Given Input numbers are 796, 272, 361, 656

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 796, 272, 361, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 272, 361, 656 is 1.

Therefore, GCD of numbers 796, 272, 361, 656 is 1

Given Input Data is 796, 272, 361, 656

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 361 is 19 x 19

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(796, 272) = 54128

GCD(796, 272) = ( 796 x 272 ) / 54128

GCD(796, 272) = 216512 / 54128

GCD(796, 272) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 361

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

LCM(4, 361) = 1444

GCD(4, 361) = ( 4 x 361 ) / 1444

GCD(4, 361) = 1444 / 1444

GCD(4, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 796, 272, 361, 656 is 1

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1. What is the GCD of 796, 272, 361, 656?

GCD of 796, 272, 361, 656 is 1

2. Where do I get the detailed procedure to find GCD of 796, 272, 361, 656?

You can find a detailed procedure to find GCD of 796, 272, 361, 656 on our page.

3. How to find GCD of 796, 272, 361, 656 on a calculator?

You can find the GCD of 796, 272, 361, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.