GCD of 144, 445, 49 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, 445, 49 i.e. 1 largest integer that divides all the numbers equally.

GCD of 144, 445, 49 is 1

GCD(144, 445, 49) = 1

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

GCD of

GCD of numbers 144, 445, 49 is 1

GCD(144, 445, 49) = 1

GCD of 144,445,49 Calculator

GCDof 144,445,49 is 1

Given Input numbers are 144, 445, 49

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 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Greatest Common Divisior

We found the divisors of 144, 445, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 445, 49 is 1.

Therefore, GCD of numbers 144, 445, 49 is 1

Finding GCD of 144, 445, 49 using Prime Factorization

Given Input Data is 144, 445, 49

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 445 is 5 x 89

Prime Factorization of 49 is 7 x 7

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

Finding GCD of 144, 445, 49 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, 445) = 64080

GCD(144, 445) = ( 144 x 445 ) / 64080

GCD(144, 445) = 64080 / 64080

GCD(144, 445) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

GCD of 144, 445, 49 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 144, 445, 49

1. What is the GCD of 144, 445, 49?

GCD of 144, 445, 49 is 1


2. Where do I get the detailed procedure to find GCD of 144, 445, 49?

You can find a detailed procedure to find GCD of 144, 445, 49 on our page.


3. How to find GCD of 144, 445, 49 on a calculator?

You can find the GCD of 144, 445, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.