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 51, 81, 33 i.e. 3 largest integer that divides all the numbers equally.
GCD of 51, 81, 33 is 3
GCD(51, 81, 33) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 81, 33 is 3
GCD(51, 81, 33) = 3
Given Input numbers are 51, 81, 33
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Greatest Common Divisior
We found the divisors of 51, 81, 33 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 81, 33 is 3.
Therefore, GCD of numbers 51, 81, 33 is 3
Given Input Data is 51, 81, 33
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 33 is 3 x 11
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(51, 81) = 1377
GCD(51, 81) = ( 51 x 81 ) / 1377
GCD(51, 81) = 4131 / 1377
GCD(51, 81) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 33) = 33
GCD(3, 33) = ( 3 x 33 ) / 33
GCD(3, 33) = 99 / 33
GCD(3, 33) = 3
GCD of 51, 81, 33 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 51, 81, 33?
GCD of 51, 81, 33 is 3
2. Where do I get the detailed procedure to find GCD of 51, 81, 33?
You can find a detailed procedure to find GCD of 51, 81, 33 on our page.
3. How to find GCD of 51, 81, 33 on a calculator?
You can find the GCD of 51, 81, 33 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.