GCD of 112, 593, 524, 228 Calculator

Given Input numbers are 112, 593, 524, 228

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 593

List of positive integer divisors of 593 that divides 593 without a remainder.

1, 593

Divisors of 524

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

1, 2, 4, 131, 262, 524

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

Greatest Common Divisior

We found the divisors of 112, 593, 524, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 593, 524, 228 is 1.

Therefore, GCD of numbers 112, 593, 524, 228 is 1

Given Input Data is 112, 593, 524, 228

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 593 is 593

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 228 is 2 x 2 x 3 x 19

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(112, 593) = 66416

GCD(112, 593) = ( 112 x 593 ) / 66416

GCD(112, 593) = 66416 / 66416

GCD(112, 593) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

GCD of 112, 593, 524, 228 is 1

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1. What is the GCD of 112, 593, 524, 228?

GCD of 112, 593, 524, 228 is 1

2. Where do I get the detailed procedure to find GCD of 112, 593, 524, 228?

You can find a detailed procedure to find GCD of 112, 593, 524, 228 on our page.

3. How to find GCD of 112, 593, 524, 228 on a calculator?

You can find the GCD of 112, 593, 524, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.