GCD of 174, 518, 339, 522 Calculator

Given Input numbers are 174, 518, 339, 522

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 174, 518, 339, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 518, 339, 522 is 1.

Therefore, GCD of numbers 174, 518, 339, 522 is 1

Given Input Data is 174, 518, 339, 522

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 339 is 3 x 113

Prime Factorization of 522 is 2 x 3 x 3 x 29

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(174, 518) = 45066

GCD(174, 518) = ( 174 x 518 ) / 45066

GCD(174, 518) = 90132 / 45066

GCD(174, 518) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 339

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

LCM(2, 339) = 678

GCD(2, 339) = ( 2 x 339 ) / 678

GCD(2, 339) = 678 / 678

GCD(2, 339) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 174, 518, 339, 522 is 1

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1. What is the GCD of 174, 518, 339, 522?

GCD of 174, 518, 339, 522 is 1

2. Where do I get the detailed procedure to find GCD of 174, 518, 339, 522?

You can find a detailed procedure to find GCD of 174, 518, 339, 522 on our page.

3. How to find GCD of 174, 518, 339, 522 on a calculator?

You can find the GCD of 174, 518, 339, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.