GCD of 491, 846, 21, 791 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, 846, 21, 791 i.e. 1 largest integer that divides all the numbers equally.

GCD of 491, 846, 21, 791 is 1

GCD(491, 846, 21, 791) = 1

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

GCD of

GCD of numbers 491, 846, 21, 791 is 1

GCD(491, 846, 21, 791) = 1

GCD of 491,846,21,791 Calculator

GCDof 491,846,21,791 is 1

Given Input numbers are 491, 846, 21, 791

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 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 21

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

1, 3, 7, 21

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 491, 846, 21, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 846, 21, 791 is 1.

Therefore, GCD of numbers 491, 846, 21, 791 is 1

Finding GCD of 491, 846, 21, 791 using Prime Factorization

Given Input Data is 491, 846, 21, 791

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

Prime Factorization of 491 is 491

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 21 is 3 x 7

Prime Factorization of 791 is 7 x 113

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

Finding GCD of 491, 846, 21, 791 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, 846) = 415386

GCD(491, 846) = ( 491 x 846 ) / 415386

GCD(491, 846) = 415386 / 415386

GCD(491, 846) = 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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 491, 846, 21, 791 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 491, 846, 21, 791

1. What is the GCD of 491, 846, 21, 791?

GCD of 491, 846, 21, 791 is 1


2. Where do I get the detailed procedure to find GCD of 491, 846, 21, 791?

You can find a detailed procedure to find GCD of 491, 846, 21, 791 on our page.


3. How to find GCD of 491, 846, 21, 791 on a calculator?

You can find the GCD of 491, 846, 21, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.