GCD of 421, 992, 20, 116 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, 992, 20, 116 i.e. 1 largest integer that divides all the numbers equally.

GCD of 421, 992, 20, 116 is 1

GCD(421, 992, 20, 116) = 1

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

GCD of

GCD of numbers 421, 992, 20, 116 is 1

GCD(421, 992, 20, 116) = 1

GCD of 421,992,20,116 Calculator

GCDof 421,992,20,116 is 1

Given Input numbers are 421, 992, 20, 116

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 421, 992, 20, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 992, 20, 116 is 1.

Therefore, GCD of numbers 421, 992, 20, 116 is 1

Finding GCD of 421, 992, 20, 116 using Prime Factorization

Given Input Data is 421, 992, 20, 116

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

Prime Factorization of 421 is 421

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 116 is 2 x 2 x 29

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

Finding GCD of 421, 992, 20, 116 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, 992) = 417632

GCD(421, 992) = ( 421 x 992 ) / 417632

GCD(421, 992) = 417632 / 417632

GCD(421, 992) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 421, 992, 20, 116 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 421, 992, 20, 116

1. What is the GCD of 421, 992, 20, 116?

GCD of 421, 992, 20, 116 is 1


2. Where do I get the detailed procedure to find GCD of 421, 992, 20, 116?

You can find a detailed procedure to find GCD of 421, 992, 20, 116 on our page.


3. How to find GCD of 421, 992, 20, 116 on a calculator?

You can find the GCD of 421, 992, 20, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.