GCD of 421, 963, 14, 381 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 421, 963, 14, 381 i.e. 1 largest integer that divides all the numbers equally.

GCD of 421, 963, 14, 381 is 1

GCD(421, 963, 14, 381) = 1

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

GCD of

GCD of numbers 421, 963, 14, 381 is 1

GCD(421, 963, 14, 381) = 1

GCD of 421,963,14,381 Calculator

GCDof 421,963,14,381 is 1

Given Input numbers are 421, 963, 14, 381

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 14

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

1, 2, 7, 14

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 421, 963, 14, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 963, 14, 381 is 1.

Therefore, GCD of numbers 421, 963, 14, 381 is 1

Finding GCD of 421, 963, 14, 381 using Prime Factorization

Given Input Data is 421, 963, 14, 381

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

Prime Factorization of 421 is 421

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 14 is 2 x 7

Prime Factorization of 381 is 3 x 127

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

Finding GCD of 421, 963, 14, 381 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(421, 963) = 405423

GCD(421, 963) = ( 421 x 963 ) / 405423

GCD(421, 963) = 405423 / 405423

GCD(421, 963) = 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 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 421, 963, 14, 381 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 421, 963, 14, 381

1. What is the GCD of 421, 963, 14, 381?

GCD of 421, 963, 14, 381 is 1


2. Where do I get the detailed procedure to find GCD of 421, 963, 14, 381?

You can find a detailed procedure to find GCD of 421, 963, 14, 381 on our page.


3. How to find GCD of 421, 963, 14, 381 on a calculator?

You can find the GCD of 421, 963, 14, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.