GCD of 27, 54, 51 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 27, 54, 51 i.e. 3 largest integer that divides all the numbers equally.
GCD of 27, 54, 51 is 3
GCD(27, 54, 51) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 27, 54, 51 is 3
GCD(27, 54, 51) = 3
GCDof 27,54,51 is 3
Given Input numbers are 27, 54, 51
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
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 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 27, 54, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 54, 51 is 3.
Therefore, GCD of numbers 27, 54, 51 is 3
Given Input Data is 27, 54, 51
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 54 is 2 x 3 x 3 x 3
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
Finding GCD of 27, 54, 51 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(27, 54) = 54
GCD(27, 54) = ( 27 x 54 ) / 54
GCD(27, 54) = 1458 / 54
GCD(27, 54) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 51) = 459
GCD(27, 51) = ( 27 x 51 ) / 459
GCD(27, 51) = 1377 / 459
GCD(27, 51) = 3
GCD of 27, 54, 51 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 27, 54, 51
1. What is the GCD of 27, 54, 51?
GCD of 27, 54, 51 is 3
2. Where do I get the detailed procedure to find GCD of 27, 54, 51?
You can find a detailed procedure to find GCD of 27, 54, 51 on our page.
3. How to find GCD of 27, 54, 51 on a calculator?
You can find the GCD of 27, 54, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.