GCD of 21, 392, 285, 891 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 21, 392, 285, 891 i.e. 1 largest integer that divides all the numbers equally.

GCD of 21, 392, 285, 891 is 1

GCD(21, 392, 285, 891) = 1

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

GCD of

GCD of numbers 21, 392, 285, 891 is 1

GCD(21, 392, 285, 891) = 1

GCD of 21,392,285,891 Calculator

GCDof 21,392,285,891 is 1

Given Input numbers are 21, 392, 285, 891

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 21, 392, 285, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 392, 285, 891 is 1.

Therefore, GCD of numbers 21, 392, 285, 891 is 1

Finding GCD of 21, 392, 285, 891 using Prime Factorization

Given Input Data is 21, 392, 285, 891

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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

Finding GCD of 21, 392, 285, 891 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(21, 392) = 1176

GCD(21, 392) = ( 21 x 392 ) / 1176

GCD(21, 392) = 8232 / 1176

GCD(21, 392) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 285

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

LCM(7, 285) = 1995

GCD(7, 285) = ( 7 x 285 ) / 1995

GCD(7, 285) = 1995 / 1995

GCD(7, 285) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

GCD of 21, 392, 285, 891 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 21, 392, 285, 891

1. What is the GCD of 21, 392, 285, 891?

GCD of 21, 392, 285, 891 is 1


2. Where do I get the detailed procedure to find GCD of 21, 392, 285, 891?

You can find a detailed procedure to find GCD of 21, 392, 285, 891 on our page.


3. How to find GCD of 21, 392, 285, 891 on a calculator?

You can find the GCD of 21, 392, 285, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.