GCD of 195, 630, 270, 228 Calculator

Given Input numbers are 195, 630, 270, 228

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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

Greatest Common Divisior

We found the divisors of 195, 630, 270, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 630, 270, 228 is 3.

Therefore, GCD of numbers 195, 630, 270, 228 is 3

Given Input Data is 195, 630, 270, 228

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

Prime Factorization of 195 is 3 x 5 x 13

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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

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(195, 630) = 8190

GCD(195, 630) = ( 195 x 630 ) / 8190

GCD(195, 630) = 122850 / 8190

GCD(195, 630) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 270

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

LCM(15, 270) = 270

GCD(15, 270) = ( 15 x 270 ) / 270

GCD(15, 270) = 4050 / 270

GCD(15, 270) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 228

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

LCM(15, 228) = 1140

GCD(15, 228) = ( 15 x 228 ) / 1140

GCD(15, 228) = 3420 / 1140

GCD(15, 228) = 3

GCD of 195, 630, 270, 228 is 3

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1. What is the GCD of 195, 630, 270, 228?

GCD of 195, 630, 270, 228 is 3

2. Where do I get the detailed procedure to find GCD of 195, 630, 270, 228?

You can find a detailed procedure to find GCD of 195, 630, 270, 228 on our page.

3. How to find GCD of 195, 630, 270, 228 on a calculator?

You can find the GCD of 195, 630, 270, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.