GCD of 344, 796, 979, 275 Calculator

Given Input numbers are 344, 796, 979, 275

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

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 796

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

1, 2, 4, 199, 398, 796

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 344, 796, 979, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 796, 979, 275 is 1.

Therefore, GCD of numbers 344, 796, 979, 275 is 1

Given Input Data is 344, 796, 979, 275

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

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 979 is 11 x 89

Prime Factorization of 275 is 5 x 5 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(344, 796) = 68456

GCD(344, 796) = ( 344 x 796 ) / 68456

GCD(344, 796) = 273824 / 68456

GCD(344, 796) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 979

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

LCM(4, 979) = 3916

GCD(4, 979) = ( 4 x 979 ) / 3916

GCD(4, 979) = 3916 / 3916

GCD(4, 979) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 344, 796, 979, 275 is 1

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1. What is the GCD of 344, 796, 979, 275?

GCD of 344, 796, 979, 275 is 1

2. Where do I get the detailed procedure to find GCD of 344, 796, 979, 275?

You can find a detailed procedure to find GCD of 344, 796, 979, 275 on our page.

3. How to find GCD of 344, 796, 979, 275 on a calculator?

You can find the GCD of 344, 796, 979, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.