GCD of 328, 519, 446, 984 Calculator

Given Input numbers are 328, 519, 446, 984

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

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 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 328, 519, 446, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 519, 446, 984 is 1.

Therefore, GCD of numbers 328, 519, 446, 984 is 1

Given Input Data is 328, 519, 446, 984

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

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

Prime Factorization of 519 is 3 x 173

Prime Factorization of 446 is 2 x 223

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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(328, 519) = 170232

GCD(328, 519) = ( 328 x 519 ) / 170232

GCD(328, 519) = 170232 / 170232

GCD(328, 519) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 328, 519, 446, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 169, 624, 707
• GCD of 520, 694, 119, 672
• GCD of 709, 447, 418, 626
• GCD of 448, 196, 157, 836
• GCD of 237, 515, 156, 398

1. What is the GCD of 328, 519, 446, 984?

GCD of 328, 519, 446, 984 is 1

2. Where do I get the detailed procedure to find GCD of 328, 519, 446, 984?

You can find a detailed procedure to find GCD of 328, 519, 446, 984 on our page.

3. How to find GCD of 328, 519, 446, 984 on a calculator?

You can find the GCD of 328, 519, 446, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.