GCD of 228, 315, 58, 215 Calculator

Given Input numbers are 228, 315, 58, 215

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 228, 315, 58, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 315, 58, 215 is 1.

Therefore, GCD of numbers 228, 315, 58, 215 is 1

Given Input Data is 228, 315, 58, 215

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 315 is 3 x 3 x 5 x 7

Prime Factorization of 58 is 2 x 29

Prime Factorization of 215 is 5 x 43

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, 315) = 23940

GCD(228, 315) = ( 228 x 315 ) / 23940

GCD(228, 315) = 71820 / 23940

GCD(228, 315) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 58

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

LCM(3, 58) = 174

GCD(3, 58) = ( 3 x 58 ) / 174

GCD(3, 58) = 174 / 174

GCD(3, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

GCD of 228, 315, 58, 215 is 1

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1. What is the GCD of 228, 315, 58, 215?

GCD of 228, 315, 58, 215 is 1

2. Where do I get the detailed procedure to find GCD of 228, 315, 58, 215?

You can find a detailed procedure to find GCD of 228, 315, 58, 215 on our page.

3. How to find GCD of 228, 315, 58, 215 on a calculator?

You can find the GCD of 228, 315, 58, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.