GCD of 899, 303, 228, 852 Calculator

Given Input numbers are 899, 303, 228, 852

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

Divisors of 899

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

1, 29, 31, 899

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 899, 303, 228, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 303, 228, 852 is 1.

Therefore, GCD of numbers 899, 303, 228, 852 is 1

Given Input Data is 899, 303, 228, 852

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 303 is 3 x 101

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(899, 303) = 272397

GCD(899, 303) = ( 899 x 303 ) / 272397

GCD(899, 303) = 272397 / 272397

GCD(899, 303) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 899, 303, 228, 852 is 1

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1. What is the GCD of 899, 303, 228, 852?

GCD of 899, 303, 228, 852 is 1

2. Where do I get the detailed procedure to find GCD of 899, 303, 228, 852?

You can find a detailed procedure to find GCD of 899, 303, 228, 852 on our page.

3. How to find GCD of 899, 303, 228, 852 on a calculator?

You can find the GCD of 899, 303, 228, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.