GCD of 228, 375, 524, 591 Calculator

Given Input numbers are 228, 375, 524, 591

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 524

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

1, 2, 4, 131, 262, 524

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Greatest Common Divisior

We found the divisors of 228, 375, 524, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 375, 524, 591 is 1.

Therefore, GCD of numbers 228, 375, 524, 591 is 1

Given Input Data is 228, 375, 524, 591

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 375 is 3 x 5 x 5 x 5

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 591 is 3 x 197

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, 375) = 28500

GCD(228, 375) = ( 228 x 375 ) / 28500

GCD(228, 375) = 85500 / 28500

GCD(228, 375) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 524

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

LCM(3, 524) = 1572

GCD(3, 524) = ( 3 x 524 ) / 1572

GCD(3, 524) = 1572 / 1572

GCD(3, 524) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

GCD of 228, 375, 524, 591 is 1

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• GCD of 233, 650, 156, 280
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1. What is the GCD of 228, 375, 524, 591?

GCD of 228, 375, 524, 591 is 1

2. Where do I get the detailed procedure to find GCD of 228, 375, 524, 591?

You can find a detailed procedure to find GCD of 228, 375, 524, 591 on our page.

3. How to find GCD of 228, 375, 524, 591 on a calculator?

You can find the GCD of 228, 375, 524, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.