GCD of 224, 232, 588, 188 Calculator

Given Input numbers are 224, 232, 588, 188

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 224, 232, 588, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 232, 588, 188 is 4.

Therefore, GCD of numbers 224, 232, 588, 188 is 4

Given Input Data is 224, 232, 588, 188

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 188 is 2 x 2 x 47

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(224, 232) = 6496

GCD(224, 232) = ( 224 x 232 ) / 6496

GCD(224, 232) = 51968 / 6496

GCD(224, 232) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 588

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

LCM(8, 588) = 1176

GCD(8, 588) = ( 8 x 588 ) / 1176

GCD(8, 588) = 4704 / 1176

GCD(8, 588) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 188

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

LCM(4, 188) = 188

GCD(4, 188) = ( 4 x 188 ) / 188

GCD(4, 188) = 752 / 188

GCD(4, 188) = 4

GCD of 224, 232, 588, 188 is 4

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1. What is the GCD of 224, 232, 588, 188?

GCD of 224, 232, 588, 188 is 4

2. Where do I get the detailed procedure to find GCD of 224, 232, 588, 188?

You can find a detailed procedure to find GCD of 224, 232, 588, 188 on our page.

3. How to find GCD of 224, 232, 588, 188 on a calculator?

You can find the GCD of 224, 232, 588, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.