GCD of 401, 738, 328, 522 Calculator

Given Input numbers are 401, 738, 328, 522

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

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

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 401, 738, 328, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 738, 328, 522 is 1.

Therefore, GCD of numbers 401, 738, 328, 522 is 1

Given Input Data is 401, 738, 328, 522

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

Prime Factorization of 401 is 401

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 328 is 2 x 2 x 2 x 41

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(401, 738) = 295938

GCD(401, 738) = ( 401 x 738 ) / 295938

GCD(401, 738) = 295938 / 295938

GCD(401, 738) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

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

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 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 401, 738, 328, 522 is 1

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1. What is the GCD of 401, 738, 328, 522?

GCD of 401, 738, 328, 522 is 1

2. Where do I get the detailed procedure to find GCD of 401, 738, 328, 522?

You can find a detailed procedure to find GCD of 401, 738, 328, 522 on our page.

3. How to find GCD of 401, 738, 328, 522 on a calculator?

You can find the GCD of 401, 738, 328, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.