GCD of 224, 589, 141 Calculator

Given Input numbers are 224, 589, 141

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 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 224, 589, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 589, 141 is 1.

Therefore, GCD of numbers 224, 589, 141 is 1

Given Input Data is 224, 589, 141

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 589 is 19 x 31

Prime Factorization of 141 is 3 x 47

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(224, 589) = 131936

GCD(224, 589) = ( 224 x 589 ) / 131936

GCD(224, 589) = 131936 / 131936

GCD(224, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 224, 589, 141 is 1

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1. What is the GCD of 224, 589, 141?

GCD of 224, 589, 141 is 1

2. Where do I get the detailed procedure to find GCD of 224, 589, 141?

You can find a detailed procedure to find GCD of 224, 589, 141 on our page.

3. How to find GCD of 224, 589, 141 on a calculator?

You can find the GCD of 224, 589, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.