GCD of 199, 240, 250, 508 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 199, 240, 250, 508 i.e. 1 largest integer that divides all the numbers equally.

GCD of 199, 240, 250, 508 is 1

GCD(199, 240, 250, 508) = 1

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

GCD of

GCD of numbers 199, 240, 250, 508 is 1

GCD(199, 240, 250, 508) = 1

GCD of 199,240,250,508 Calculator

GCDof 199,240,250,508 is 1

Given Input numbers are 199, 240, 250, 508

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 199, 240, 250, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 240, 250, 508 is 1.

Therefore, GCD of numbers 199, 240, 250, 508 is 1

Finding GCD of 199, 240, 250, 508 using Prime Factorization

Given Input Data is 199, 240, 250, 508

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

Prime Factorization of 199 is 199

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 508 is 2 x 2 x 127

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

Finding GCD of 199, 240, 250, 508 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(199, 240) = 47760

GCD(199, 240) = ( 199 x 240 ) / 47760

GCD(199, 240) = 47760 / 47760

GCD(199, 240) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 250

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

LCM(1, 250) = 250

GCD(1, 250) = ( 1 x 250 ) / 250

GCD(1, 250) = 250 / 250

GCD(1, 250) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 199, 240, 250, 508 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 199, 240, 250, 508

1. What is the GCD of 199, 240, 250, 508?

GCD of 199, 240, 250, 508 is 1


2. Where do I get the detailed procedure to find GCD of 199, 240, 250, 508?

You can find a detailed procedure to find GCD of 199, 240, 250, 508 on our page.


3. How to find GCD of 199, 240, 250, 508 on a calculator?

You can find the GCD of 199, 240, 250, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.