GCD of 484, 401, 324, 728 Calculator

Given Input numbers are 484, 401, 324, 728

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 401

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

1, 401

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 484, 401, 324, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 401, 324, 728 is 1.

Therefore, GCD of numbers 484, 401, 324, 728 is 1

Given Input Data is 484, 401, 324, 728

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 401 is 401

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(484, 401) = 194084

GCD(484, 401) = ( 484 x 401 ) / 194084

GCD(484, 401) = 194084 / 194084

GCD(484, 401) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 484, 401, 324, 728 is 1

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1. What is the GCD of 484, 401, 324, 728?

GCD of 484, 401, 324, 728 is 1

2. Where do I get the detailed procedure to find GCD of 484, 401, 324, 728?

You can find a detailed procedure to find GCD of 484, 401, 324, 728 on our page.

3. How to find GCD of 484, 401, 324, 728 on a calculator?

You can find the GCD of 484, 401, 324, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.