GCD of 330, 920, 396, 513 Calculator

Given Input numbers are 330, 920, 396, 513

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

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 330, 920, 396, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 920, 396, 513 is 1.

Therefore, GCD of numbers 330, 920, 396, 513 is 1

Given Input Data is 330, 920, 396, 513

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(330, 920) = 30360

GCD(330, 920) = ( 330 x 920 ) / 30360

GCD(330, 920) = 303600 / 30360

GCD(330, 920) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 396

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

LCM(10, 396) = 1980

GCD(10, 396) = ( 10 x 396 ) / 1980

GCD(10, 396) = 3960 / 1980

GCD(10, 396) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 513

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

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

GCD(2, 513) = 1026 / 1026

GCD(2, 513) = 1

GCD of 330, 920, 396, 513 is 1

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1. What is the GCD of 330, 920, 396, 513?

GCD of 330, 920, 396, 513 is 1

2. Where do I get the detailed procedure to find GCD of 330, 920, 396, 513?

You can find a detailed procedure to find GCD of 330, 920, 396, 513 on our page.

3. How to find GCD of 330, 920, 396, 513 on a calculator?

You can find the GCD of 330, 920, 396, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.