GCD of 491, 849, 21 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 491, 849, 21 i.e. 1 largest integer that divides all the numbers equally.

GCD of 491, 849, 21 is 1

GCD(491, 849, 21) = 1

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

GCD of

GCD of numbers 491, 849, 21 is 1

GCD(491, 849, 21) = 1

GCD of 491,849,21 Calculator

GCDof 491,849,21 is 1

Given Input numbers are 491, 849, 21

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

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 21

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

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 491, 849, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 849, 21 is 1.

Therefore, GCD of numbers 491, 849, 21 is 1

Finding GCD of 491, 849, 21 using Prime Factorization

Given Input Data is 491, 849, 21

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

Prime Factorization of 491 is 491

Prime Factorization of 849 is 3 x 283

Prime Factorization of 21 is 3 x 7

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

Finding GCD of 491, 849, 21 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(491, 849) = 416859

GCD(491, 849) = ( 491 x 849 ) / 416859

GCD(491, 849) = 416859 / 416859

GCD(491, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 491, 849, 21 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 491, 849, 21

1. What is the GCD of 491, 849, 21?

GCD of 491, 849, 21 is 1

2. Where do I get the detailed procedure to find GCD of 491, 849, 21?

You can find a detailed procedure to find GCD of 491, 849, 21 on our page.

3. How to find GCD of 491, 849, 21 on a calculator?

You can find the GCD of 491, 849, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.