GCD of 344, 341, 58, 790 Calculator

Given Input numbers are 344, 341, 58, 790

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 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 344, 341, 58, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 341, 58, 790 is 1.

Therefore, GCD of numbers 344, 341, 58, 790 is 1

Given Input Data is 344, 341, 58, 790

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 341 is 11 x 31

Prime Factorization of 58 is 2 x 29

Prime Factorization of 790 is 2 x 5 x 79

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, 341) = 117304

GCD(344, 341) = ( 344 x 341 ) / 117304

GCD(344, 341) = 117304 / 117304

GCD(344, 341) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

GCD of 344, 341, 58, 790 is 1

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1. What is the GCD of 344, 341, 58, 790?

GCD of 344, 341, 58, 790 is 1

2. Where do I get the detailed procedure to find GCD of 344, 341, 58, 790?

You can find a detailed procedure to find GCD of 344, 341, 58, 790 on our page.

3. How to find GCD of 344, 341, 58, 790 on a calculator?

You can find the GCD of 344, 341, 58, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.