GCD of 720, 371, 14, 444 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 720, 371, 14, 444 i.e. 1 largest integer that divides all the numbers equally.

GCD of 720, 371, 14, 444 is 1

GCD(720, 371, 14, 444) = 1

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

GCD of

GCD of numbers 720, 371, 14, 444 is 1

GCD(720, 371, 14, 444) = 1

GCD of 720,371,14,444 Calculator

GCDof 720,371,14,444 is 1

Given Input numbers are 720, 371, 14, 444

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 720, 371, 14, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 371, 14, 444 is 1.

Therefore, GCD of numbers 720, 371, 14, 444 is 1

Finding GCD of 720, 371, 14, 444 using Prime Factorization

Given Input Data is 720, 371, 14, 444

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 371 is 7 x 53

Prime Factorization of 14 is 2 x 7

Prime Factorization of 444 is 2 x 2 x 3 x 37

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

Finding GCD of 720, 371, 14, 444 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(720, 371) = 267120

GCD(720, 371) = ( 720 x 371 ) / 267120

GCD(720, 371) = 267120 / 267120

GCD(720, 371) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 444

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

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

GCD of 720, 371, 14, 444 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 720, 371, 14, 444

1. What is the GCD of 720, 371, 14, 444?

GCD of 720, 371, 14, 444 is 1


2. Where do I get the detailed procedure to find GCD of 720, 371, 14, 444?

You can find a detailed procedure to find GCD of 720, 371, 14, 444 on our page.


3. How to find GCD of 720, 371, 14, 444 on a calculator?

You can find the GCD of 720, 371, 14, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.