GCD of 587, 131, 75, 224 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 587, 131, 75, 224 i.e. 1 largest integer that divides all the numbers equally.

GCD of 587, 131, 75, 224 is 1

GCD(587, 131, 75, 224) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 587, 131, 75, 224 is 1

GCD(587, 131, 75, 224) = 1

GCD of 587,131,75,224 Calculator

GCDof 587,131,75,224 is 1

Given Input numbers are 587, 131, 75, 224

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

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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

Greatest Common Divisior

We found the divisors of 587, 131, 75, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 587, 131, 75, 224 is 1.

Therefore, GCD of numbers 587, 131, 75, 224 is 1

Finding GCD of 587, 131, 75, 224 using Prime Factorization

Given Input Data is 587, 131, 75, 224

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

Prime Factorization of 587 is 587

Prime Factorization of 131 is 131

Prime Factorization of 75 is 3 x 5 x 5

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

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 587, 131, 75, 224 using LCM Formula

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(587, 131) = 76897

GCD(587, 131) = ( 587 x 131 ) / 76897

GCD(587, 131) = 76897 / 76897

GCD(587, 131) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 587, 131, 75, 224 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 587, 131, 75, 224

1. What is the GCD of 587, 131, 75, 224?

GCD of 587, 131, 75, 224 is 1


2. Where do I get the detailed procedure to find GCD of 587, 131, 75, 224?

You can find a detailed procedure to find GCD of 587, 131, 75, 224 on our page.


3. How to find GCD of 587, 131, 75, 224 on a calculator?

You can find the GCD of 587, 131, 75, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.