GCD of 66, 630, 228, 390 Calculator

Given Input numbers are 66, 630, 228, 390

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

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 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 66, 630, 228, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 630, 228, 390 is 6.

Therefore, GCD of numbers 66, 630, 228, 390 is 6

Given Input Data is 66, 630, 228, 390

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 390 is 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(66, 630) = 6930

GCD(66, 630) = ( 66 x 630 ) / 6930

GCD(66, 630) = 41580 / 6930

GCD(66, 630) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 228

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

LCM(6, 228) = 228

GCD(6, 228) = ( 6 x 228 ) / 228

GCD(6, 228) = 1368 / 228

GCD(6, 228) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 390

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

LCM(6, 390) = 390

GCD(6, 390) = ( 6 x 390 ) / 390

GCD(6, 390) = 2340 / 390

GCD(6, 390) = 6

GCD of 66, 630, 228, 390 is 6

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• GCD of 80, 960, 627, 640
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1. What is the GCD of 66, 630, 228, 390?

GCD of 66, 630, 228, 390 is 6

2. Where do I get the detailed procedure to find GCD of 66, 630, 228, 390?

You can find a detailed procedure to find GCD of 66, 630, 228, 390 on our page.

3. How to find GCD of 66, 630, 228, 390 on a calculator?

You can find the GCD of 66, 630, 228, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.