GCD of 522, 418, 788, 174 Calculator

Given Input numbers are 522, 418, 788, 174

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

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 174

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

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

Greatest Common Divisior

We found the divisors of 522, 418, 788, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 418, 788, 174 is 2.

Therefore, GCD of numbers 522, 418, 788, 174 is 2

Given Input Data is 522, 418, 788, 174

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

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 174 is 2 x 3 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(522, 418) = 109098

GCD(522, 418) = ( 522 x 418 ) / 109098

GCD(522, 418) = 218196 / 109098

GCD(522, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

GCD of 522, 418, 788, 174 is 2

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1. What is the GCD of 522, 418, 788, 174?

GCD of 522, 418, 788, 174 is 2

2. Where do I get the detailed procedure to find GCD of 522, 418, 788, 174?

You can find a detailed procedure to find GCD of 522, 418, 788, 174 on our page.

3. How to find GCD of 522, 418, 788, 174 on a calculator?

You can find the GCD of 522, 418, 788, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.