GCD of 459, 328, 53, 444 Calculator

Given Input numbers are 459, 328, 53, 444

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

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 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 459, 328, 53, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 328, 53, 444 is 1.

Therefore, GCD of numbers 459, 328, 53, 444 is 1

Given Input Data is 459, 328, 53, 444

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

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

Prime Factorization of 53 is 53

Prime Factorization of 444 is 2 x 2 x 3 x 37

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(459, 328) = 150552

GCD(459, 328) = ( 459 x 328 ) / 150552

GCD(459, 328) = 150552 / 150552

GCD(459, 328) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 444

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

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

GCD of 459, 328, 53, 444 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 796, 15, 498
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• GCD of 830, 617, 44, 313
• GCD of 774, 779, 50, 687

1. What is the GCD of 459, 328, 53, 444?

GCD of 459, 328, 53, 444 is 1

2. Where do I get the detailed procedure to find GCD of 459, 328, 53, 444?

You can find a detailed procedure to find GCD of 459, 328, 53, 444 on our page.

3. How to find GCD of 459, 328, 53, 444 on a calculator?

You can find the GCD of 459, 328, 53, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.