GCD of 798, 531, 570, 228 Calculator

Given Input numbers are 798, 531, 570, 228

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

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 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

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 798, 531, 570, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 531, 570, 228 is 3.

Therefore, GCD of numbers 798, 531, 570, 228 is 3

Given Input Data is 798, 531, 570, 228

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

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

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 570 is 2 x 3 x 5 x 19

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(798, 531) = 141246

GCD(798, 531) = ( 798 x 531 ) / 141246

GCD(798, 531) = 423738 / 141246

GCD(798, 531) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 570

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

LCM(3, 570) = 570

GCD(3, 570) = ( 3 x 570 ) / 570

GCD(3, 570) = 1710 / 570

GCD(3, 570) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 228

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

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

GCD(3, 228) = 684 / 228

GCD(3, 228) = 3

GCD of 798, 531, 570, 228 is 3

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1. What is the GCD of 798, 531, 570, 228?

GCD of 798, 531, 570, 228 is 3

2. Where do I get the detailed procedure to find GCD of 798, 531, 570, 228?

You can find a detailed procedure to find GCD of 798, 531, 570, 228 on our page.

3. How to find GCD of 798, 531, 570, 228 on a calculator?

You can find the GCD of 798, 531, 570, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.