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 numbers 491, 846, 21, 791 is 1
GCD(491, 846, 21, 791) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.