GCD of 228, 524, 37, 915 Calculator

Given Input numbers are 228, 524, 37, 915

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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 228, 524, 37, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 524, 37, 915 is 1.

Therefore, GCD of numbers 228, 524, 37, 915 is 1

Given Input Data is 228, 524, 37, 915

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 524 is 2 x 2 x 131

Prime Factorization of 37 is 37

Prime Factorization of 915 is 3 x 5 x 61

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, 524) = 29868

GCD(228, 524) = ( 228 x 524 ) / 29868

GCD(228, 524) = 119472 / 29868

GCD(228, 524) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 37

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

LCM(4, 37) = 148

GCD(4, 37) = ( 4 x 37 ) / 148

GCD(4, 37) = 148 / 148

GCD(4, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

GCD of 228, 524, 37, 915 is 1

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1. What is the GCD of 228, 524, 37, 915?

GCD of 228, 524, 37, 915 is 1

2. Where do I get the detailed procedure to find GCD of 228, 524, 37, 915?

You can find a detailed procedure to find GCD of 228, 524, 37, 915 on our page.

3. How to find GCD of 228, 524, 37, 915 on a calculator?

You can find the GCD of 228, 524, 37, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.