GCD of 796, 344, 629, 169 Calculator

Given Input numbers are 796, 344, 629, 169

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 344

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

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

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 796, 344, 629, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 344, 629, 169 is 1.

Therefore, GCD of numbers 796, 344, 629, 169 is 1

Given Input Data is 796, 344, 629, 169

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 344 is 2 x 2 x 2 x 43

Prime Factorization of 629 is 17 x 37

Prime Factorization of 169 is 13 x 13

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, 344) = 68456

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

GCD(796, 344) = 273824 / 68456

GCD(796, 344) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 629

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

LCM(4, 629) = 2516

GCD(4, 629) = ( 4 x 629 ) / 2516

GCD(4, 629) = 2516 / 2516

GCD(4, 629) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 796, 344, 629, 169 is 1

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1. What is the GCD of 796, 344, 629, 169?

GCD of 796, 344, 629, 169 is 1

2. Where do I get the detailed procedure to find GCD of 796, 344, 629, 169?

You can find a detailed procedure to find GCD of 796, 344, 629, 169 on our page.

3. How to find GCD of 796, 344, 629, 169 on a calculator?

You can find the GCD of 796, 344, 629, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.