GCD of 443, 798, 106, 228 Calculator

Given Input numbers are 443, 798, 106, 228

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

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

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 443, 798, 106, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 443, 798, 106, 228 is 1.

Therefore, GCD of numbers 443, 798, 106, 228 is 1

Given Input Data is 443, 798, 106, 228

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

Prime Factorization of 443 is 443

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 106 is 2 x 53

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(443, 798) = 353514

GCD(443, 798) = ( 443 x 798 ) / 353514

GCD(443, 798) = 353514 / 353514

GCD(443, 798) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 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 443, 798, 106, 228 is 1

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1. What is the GCD of 443, 798, 106, 228?

GCD of 443, 798, 106, 228 is 1

2. Where do I get the detailed procedure to find GCD of 443, 798, 106, 228?

You can find a detailed procedure to find GCD of 443, 798, 106, 228 on our page.

3. How to find GCD of 443, 798, 106, 228 on a calculator?

You can find the GCD of 443, 798, 106, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.