GCD of 228, 252, 66, 899 Calculator

Given Input numbers are 228, 252, 66, 899

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

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 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 228, 252, 66, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 252, 66, 899 is 1.

Therefore, GCD of numbers 228, 252, 66, 899 is 1

Given Input Data is 228, 252, 66, 899

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

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 899 is 29 x 31

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(228, 252) = 4788

GCD(228, 252) = ( 228 x 252 ) / 4788

GCD(228, 252) = 57456 / 4788

GCD(228, 252) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 66

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

LCM(12, 66) = 132

GCD(12, 66) = ( 12 x 66 ) / 132

GCD(12, 66) = 792 / 132

GCD(12, 66) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 899

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

LCM(6, 899) = 5394

GCD(6, 899) = ( 6 x 899 ) / 5394

GCD(6, 899) = 5394 / 5394

GCD(6, 899) = 1

GCD of 228, 252, 66, 899 is 1

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1. What is the GCD of 228, 252, 66, 899?

GCD of 228, 252, 66, 899 is 1

2. Where do I get the detailed procedure to find GCD of 228, 252, 66, 899?

You can find a detailed procedure to find GCD of 228, 252, 66, 899 on our page.

3. How to find GCD of 228, 252, 66, 899 on a calculator?

You can find the GCD of 228, 252, 66, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.