GCD of 174, 528, 405, 394 Calculator

Given Input numbers are 174, 528, 405, 394

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 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 174, 528, 405, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 528, 405, 394 is 1.

Therefore, GCD of numbers 174, 528, 405, 394 is 1

Given Input Data is 174, 528, 405, 394

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 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 394 is 2 x 197

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, 528) = 15312

GCD(174, 528) = ( 174 x 528 ) / 15312

GCD(174, 528) = 91872 / 15312

GCD(174, 528) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 405

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

LCM(6, 405) = 810

GCD(6, 405) = ( 6 x 405 ) / 810

GCD(6, 405) = 2430 / 810

GCD(6, 405) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 394

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

LCM(3, 394) = 1182

GCD(3, 394) = ( 3 x 394 ) / 1182

GCD(3, 394) = 1182 / 1182

GCD(3, 394) = 1

GCD of 174, 528, 405, 394 is 1

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1. What is the GCD of 174, 528, 405, 394?

GCD of 174, 528, 405, 394 is 1

2. Where do I get the detailed procedure to find GCD of 174, 528, 405, 394?

You can find a detailed procedure to find GCD of 174, 528, 405, 394 on our page.

3. How to find GCD of 174, 528, 405, 394 on a calculator?

You can find the GCD of 174, 528, 405, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.