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 806, 821, 81, 991 i.e. 1 largest integer that divides all the numbers equally.
GCD of 806, 821, 81, 991 is 1
GCD(806, 821, 81, 991) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 806, 821, 81, 991 is 1
GCD(806, 821, 81, 991) = 1
Given Input numbers are 806, 821, 81, 991
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 806
List of positive integer divisors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Greatest Common Divisior
We found the divisors of 806, 821, 81, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 821, 81, 991 is 1.
Therefore, GCD of numbers 806, 821, 81, 991 is 1
Given Input Data is 806, 821, 81, 991
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 806 is 2 x 13 x 31
Prime Factorization of 821 is 821
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 991 is 991
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(806, 821) = 661726
GCD(806, 821) = ( 806 x 821 ) / 661726
GCD(806, 821) = 661726 / 661726
GCD(806, 821) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 81) = 81
GCD(1, 81) = ( 1 x 81 ) / 81
GCD(1, 81) = 81 / 81
GCD(1, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 991
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
GCD(1, 991) = 991 / 991
GCD(1, 991) = 1
GCD of 806, 821, 81, 991 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 806, 821, 81, 991?
GCD of 806, 821, 81, 991 is 1
2. Where do I get the detailed procedure to find GCD of 806, 821, 81, 991?
You can find a detailed procedure to find GCD of 806, 821, 81, 991 on our page.
3. How to find GCD of 806, 821, 81, 991 on a calculator?
You can find the GCD of 806, 821, 81, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.