GCD of 81, 54, 30 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 81, 54, 30 i.e. 3 largest integer that divides all the numbers equally.
GCD of 81, 54, 30 is 3
GCD(81, 54, 30) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 81, 54, 30 is 3
GCD(81, 54, 30) = 3
GCDof 81,54,30 is 3
Given Input numbers are 81, 54, 30
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Greatest Common Divisior
We found the divisors of 81, 54, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 54, 30 is 3.
Therefore, GCD of numbers 81, 54, 30 is 3
Given Input Data is 81, 54, 30
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 30 is 2 x 3 x 5
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 81, 54, 30 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(81, 54) = 162
GCD(81, 54) = ( 81 x 54 ) / 162
GCD(81, 54) = 4374 / 162
GCD(81, 54) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 30) = 270
GCD(27, 30) = ( 27 x 30 ) / 270
GCD(27, 30) = 810 / 270
GCD(27, 30) = 3
GCD of 81, 54, 30 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 81, 54, 30
1. What is the GCD of 81, 54, 30?
GCD of 81, 54, 30 is 3
2. Where do I get the detailed procedure to find GCD of 81, 54, 30?
You can find a detailed procedure to find GCD of 81, 54, 30 on our page.
3. How to find GCD of 81, 54, 30 on a calculator?
You can find the GCD of 81, 54, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.