GCD of 330, 327, 51 Calculator

Given Input numbers are 330, 327, 51

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 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Greatest Common Divisior

We found the divisors of 330, 327, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 327, 51 is 3.

Therefore, GCD of numbers 330, 327, 51 is 3

Given Input Data is 330, 327, 51

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 327 is 3 x 109

Prime Factorization of 51 is 3 x 17

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 327) = 35970

GCD(330, 327) = ( 330 x 327 ) / 35970

GCD(330, 327) = 107910 / 35970

GCD(330, 327) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

GCD of 330, 327, 51 is 3

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1. What is the GCD of 330, 327, 51?

GCD of 330, 327, 51 is 3

2. Where do I get the detailed procedure to find GCD of 330, 327, 51?

You can find a detailed procedure to find GCD of 330, 327, 51 on our page.

3. How to find GCD of 330, 327, 51 on a calculator?

You can find the GCD of 330, 327, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.