GCD of 228, 375, 49, 853 Calculator

Given Input numbers are 228, 375, 49, 853

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 853

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

1, 853

Greatest Common Divisior

We found the divisors of 228, 375, 49, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 375, 49, 853 is 1.

Therefore, GCD of numbers 228, 375, 49, 853 is 1

Given Input Data is 228, 375, 49, 853

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 375 is 3 x 5 x 5 x 5

Prime Factorization of 49 is 7 x 7

Prime Factorization of 853 is 853

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, 375) = 28500

GCD(228, 375) = ( 228 x 375 ) / 28500

GCD(228, 375) = 85500 / 28500

GCD(228, 375) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 49

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

LCM(3, 49) = 147

GCD(3, 49) = ( 3 x 49 ) / 147

GCD(3, 49) = 147 / 147

GCD(3, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 228, 375, 49, 853 is 1

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1. What is the GCD of 228, 375, 49, 853?

GCD of 228, 375, 49, 853 is 1

2. Where do I get the detailed procedure to find GCD of 228, 375, 49, 853?

You can find a detailed procedure to find GCD of 228, 375, 49, 853 on our page.

3. How to find GCD of 228, 375, 49, 853 on a calculator?

You can find the GCD of 228, 375, 49, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.