GCD of 228, 398, 46, 220 Calculator

Given Input numbers are 228, 398, 46, 220

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 228, 398, 46, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 398, 46, 220 is 2.

Therefore, GCD of numbers 228, 398, 46, 220 is 2

Given Input Data is 228, 398, 46, 220

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 398 is 2 x 199

Prime Factorization of 46 is 2 x 23

Prime Factorization of 220 is 2 x 2 x 5 x 11

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, 398) = 45372

GCD(228, 398) = ( 228 x 398 ) / 45372

GCD(228, 398) = 90744 / 45372

GCD(228, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 220

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

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

GCD(2, 220) = 440 / 220

GCD(2, 220) = 2

GCD of 228, 398, 46, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 418, 89, 815
• GCD of 528, 777, 79, 201
• GCD of 219, 563, 68, 878
• GCD of 198, 886, 54, 446
• GCD of 468, 872, 83, 449

1. What is the GCD of 228, 398, 46, 220?

GCD of 228, 398, 46, 220 is 2

2. Where do I get the detailed procedure to find GCD of 228, 398, 46, 220?

You can find a detailed procedure to find GCD of 228, 398, 46, 220 on our page.

3. How to find GCD of 228, 398, 46, 220 on a calculator?

You can find the GCD of 228, 398, 46, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.