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 813, 165, 51 i.e. 3 largest integer that divides all the numbers equally.
GCD of 813, 165, 51 is 3
GCD(813, 165, 51) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 165, 51 is 3
GCD(813, 165, 51) = 3
Given Input numbers are 813, 165, 51
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Greatest Common Divisior
We found the divisors of 813, 165, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 165, 51 is 3.
Therefore, GCD of numbers 813, 165, 51 is 3
Given Input Data is 813, 165, 51
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 51 is 3 x 17
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(813, 165) = 44715
GCD(813, 165) = ( 813 x 165 ) / 44715
GCD(813, 165) = 134145 / 44715
GCD(813, 165) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 51) = 51
GCD(3, 51) = ( 3 x 51 ) / 51
GCD(3, 51) = 153 / 51
GCD(3, 51) = 3
GCD of 813, 165, 51 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 165, 51?
GCD of 813, 165, 51 is 3
2. Where do I get the detailed procedure to find GCD of 813, 165, 51?
You can find a detailed procedure to find GCD of 813, 165, 51 on our page.
3. How to find GCD of 813, 165, 51 on a calculator?
You can find the GCD of 813, 165, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.