GCD of 853, 816, 33, 228 Calculator

Given Input numbers are 853, 816, 33, 228

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

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

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 853, 816, 33, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 816, 33, 228 is 1.

Therefore, GCD of numbers 853, 816, 33, 228 is 1

Given Input Data is 853, 816, 33, 228

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

Prime Factorization of 853 is 853

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 33 is 3 x 11

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

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(853, 816) = 696048

GCD(853, 816) = ( 853 x 816 ) / 696048

GCD(853, 816) = 696048 / 696048

GCD(853, 816) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

GCD of 853, 816, 33, 228 is 1

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1. What is the GCD of 853, 816, 33, 228?

GCD of 853, 816, 33, 228 is 1

2. Where do I get the detailed procedure to find GCD of 853, 816, 33, 228?

You can find a detailed procedure to find GCD of 853, 816, 33, 228 on our page.

3. How to find GCD of 853, 816, 33, 228 on a calculator?

You can find the GCD of 853, 816, 33, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.