GCD of 996, 331, 99, 514 Calculator

Given Input numbers are 996, 331, 99, 514

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 996, 331, 99, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 331, 99, 514 is 1.

Therefore, GCD of numbers 996, 331, 99, 514 is 1

Given Input Data is 996, 331, 99, 514

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 331 is 331

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 514 is 2 x 257

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(996, 331) = 329676

GCD(996, 331) = ( 996 x 331 ) / 329676

GCD(996, 331) = 329676 / 329676

GCD(996, 331) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 996, 331, 99, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 497, 447, 14, 490
• GCD of 184, 515, 55, 998
• GCD of 729, 411, 97, 465
• GCD of 121, 459, 13, 130
• GCD of 964, 316, 19, 635

1. What is the GCD of 996, 331, 99, 514?

GCD of 996, 331, 99, 514 is 1

2. Where do I get the detailed procedure to find GCD of 996, 331, 99, 514?

You can find a detailed procedure to find GCD of 996, 331, 99, 514 on our page.

3. How to find GCD of 996, 331, 99, 514 on a calculator?

You can find the GCD of 996, 331, 99, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.