GCD of 14, 958, 720, 855 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 14, 958, 720, 855 i.e. 1 largest integer that divides all the numbers equally.

GCD of 14, 958, 720, 855 is 1

GCD(14, 958, 720, 855) = 1

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

GCD of

GCD of numbers 14, 958, 720, 855 is 1

GCD(14, 958, 720, 855) = 1

GCD of 14,958,720,855 Calculator

GCDof 14,958,720,855 is 1

Given Input numbers are 14, 958, 720, 855

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

Divisors of 14

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

1, 2, 7, 14

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

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 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 14, 958, 720, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 958, 720, 855 is 1.

Therefore, GCD of numbers 14, 958, 720, 855 is 1

Finding GCD of 14, 958, 720, 855 using Prime Factorization

Given Input Data is 14, 958, 720, 855

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 958 is 2 x 479

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

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

Finding GCD of 14, 958, 720, 855 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(14, 958) = 6706

GCD(14, 958) = ( 14 x 958 ) / 6706

GCD(14, 958) = 13412 / 6706

GCD(14, 958) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 720

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

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

GCD(2, 720) = 1440 / 720

GCD(2, 720) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 855

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

LCM(2, 855) = 1710

GCD(2, 855) = ( 2 x 855 ) / 1710

GCD(2, 855) = 1710 / 1710

GCD(2, 855) = 1

GCD of 14, 958, 720, 855 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 14, 958, 720, 855

1. What is the GCD of 14, 958, 720, 855?

GCD of 14, 958, 720, 855 is 1


2. Where do I get the detailed procedure to find GCD of 14, 958, 720, 855?

You can find a detailed procedure to find GCD of 14, 958, 720, 855 on our page.


3. How to find GCD of 14, 958, 720, 855 on a calculator?

You can find the GCD of 14, 958, 720, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.