GCD of 228, 546, 20, 470 Calculator

Given Input numbers are 228, 546, 20, 470

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 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 228, 546, 20, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 546, 20, 470 is 2.

Therefore, GCD of numbers 228, 546, 20, 470 is 2

Given Input Data is 228, 546, 20, 470

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 546 is 2 x 3 x 7 x 13

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 470 is 2 x 5 x 47

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 546) = 20748

GCD(228, 546) = ( 228 x 546 ) / 20748

GCD(228, 546) = 124488 / 20748

GCD(228, 546) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 20

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

LCM(6, 20) = 60

GCD(6, 20) = ( 6 x 20 ) / 60

GCD(6, 20) = 120 / 60

GCD(6, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 470

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

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

GCD(2, 470) = 940 / 470

GCD(2, 470) = 2

GCD of 228, 546, 20, 470 is 2

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1. What is the GCD of 228, 546, 20, 470?

GCD of 228, 546, 20, 470 is 2

2. Where do I get the detailed procedure to find GCD of 228, 546, 20, 470?

You can find a detailed procedure to find GCD of 228, 546, 20, 470 on our page.

3. How to find GCD of 228, 546, 20, 470 on a calculator?

You can find the GCD of 228, 546, 20, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.