GCD of 24, 12, 54 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 24, 12, 54 i.e. 6 largest integer that divides all the numbers equally.
GCD of 24, 12, 54 is 6
GCD(24, 12, 54) = 6
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 24, 12, 54 is 6
GCD(24, 12, 54) = 6
GCDof 24,12,54 is 6
Given Input numbers are 24, 12, 54
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Greatest Common Divisior
We found the divisors of 24, 12, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 12, 54 is 6.
Therefore, GCD of numbers 24, 12, 54 is 6
Given Input Data is 24, 12, 54
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 54 is 2 x 3 x 3 x 3
Highest common occurrences in the given inputs are 21 x 31
Multiplying them we get the GCD as 6
Finding GCD of 24, 12, 54 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(24, 12) = 24
GCD(24, 12) = ( 24 x 12 ) / 24
GCD(24, 12) = 288 / 24
GCD(24, 12) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 54) = 108
GCD(12, 54) = ( 12 x 54 ) / 108
GCD(12, 54) = 648 / 108
GCD(12, 54) = 6
GCD of 24, 12, 54 is 6
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 24, 12, 54
1. What is the GCD of 24, 12, 54?
GCD of 24, 12, 54 is 6
2. Where do I get the detailed procedure to find GCD of 24, 12, 54?
You can find a detailed procedure to find GCD of 24, 12, 54 on our page.
3. How to find GCD of 24, 12, 54 on a calculator?
You can find the GCD of 24, 12, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.