GCD of 442, 916, 250 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 442, 916, 250 i.e. 2 largest integer that divides all the numbers equally.

GCD of 442, 916, 250 is 2

GCD(442, 916, 250) = 2

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

GCD of

GCD of numbers 442, 916, 250 is 2

GCD(442, 916, 250) = 2

GCD of 442,916,250 Calculator

GCDof 442,916,250 is 2

Given Input numbers are 442, 916, 250

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 250

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

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

Greatest Common Divisior

We found the divisors of 442, 916, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 916, 250 is 2.

Therefore, GCD of numbers 442, 916, 250 is 2

Finding GCD of 442, 916, 250 using Prime Factorization

Given Input Data is 442, 916, 250

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 916 is 2 x 2 x 229

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

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 442, 916, 250 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(442, 916) = 202436

GCD(442, 916) = ( 442 x 916 ) / 202436

GCD(442, 916) = 404872 / 202436

GCD(442, 916) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 250

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

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

GCD(2, 250) = 500 / 250

GCD(2, 250) = 2

GCD of 442, 916, 250 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 442, 916, 250

1. What is the GCD of 442, 916, 250?

GCD of 442, 916, 250 is 2


2. Where do I get the detailed procedure to find GCD of 442, 916, 250?

You can find a detailed procedure to find GCD of 442, 916, 250 on our page.


3. How to find GCD of 442, 916, 250 on a calculator?

You can find the GCD of 442, 916, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.