GCD of 330, 669, 66, 102 Calculator

Given Input numbers are 330, 669, 66, 102

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 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 330, 669, 66, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 669, 66, 102 is 3.

Therefore, GCD of numbers 330, 669, 66, 102 is 3

Given Input Data is 330, 669, 66, 102

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 669 is 3 x 223

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 102 is 2 x 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, 669) = 73590

GCD(330, 669) = ( 330 x 669 ) / 73590

GCD(330, 669) = 220770 / 73590

GCD(330, 669) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 102

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

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

GCD(3, 102) = 306 / 102

GCD(3, 102) = 3

GCD of 330, 669, 66, 102 is 3

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1. What is the GCD of 330, 669, 66, 102?

GCD of 330, 669, 66, 102 is 3

2. Where do I get the detailed procedure to find GCD of 330, 669, 66, 102?

You can find a detailed procedure to find GCD of 330, 669, 66, 102 on our page.

3. How to find GCD of 330, 669, 66, 102 on a calculator?

You can find the GCD of 330, 669, 66, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.