GCD of 144, 662, 440 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 144, 662, 440 i.e. 2 largest integer that divides all the numbers equally.

GCD of 144, 662, 440 is 2

GCD(144, 662, 440) = 2

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

GCD of

GCD of numbers 144, 662, 440 is 2

GCD(144, 662, 440) = 2

GCD of 144,662,440 Calculator

GCDof 144,662,440 is 2

Given Input numbers are 144, 662, 440

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 144, 662, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 662, 440 is 2.

Therefore, GCD of numbers 144, 662, 440 is 2

Finding GCD of 144, 662, 440 using Prime Factorization

Given Input Data is 144, 662, 440

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 662 is 2 x 331

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 144, 662, 440 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(144, 662) = 47664

GCD(144, 662) = ( 144 x 662 ) / 47664

GCD(144, 662) = 95328 / 47664

GCD(144, 662) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 440

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

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

GCD(2, 440) = 880 / 440

GCD(2, 440) = 2

GCD of 144, 662, 440 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 144, 662, 440

1. What is the GCD of 144, 662, 440?

GCD of 144, 662, 440 is 2


2. Where do I get the detailed procedure to find GCD of 144, 662, 440?

You can find a detailed procedure to find GCD of 144, 662, 440 on our page.


3. How to find GCD of 144, 662, 440 on a calculator?

You can find the GCD of 144, 662, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.