GCD of 66, 78, 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 66, 78, 54 i.e. 6 largest integer that divides all the numbers equally.
GCD of 66, 78, 54 is 6
GCD(66, 78, 54) = 6
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 66, 78, 54 is 6
GCD(66, 78, 54) = 6
GCDof 66,78,54 is 6
Given Input numbers are 66, 78, 54
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
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 66, 78, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 78, 54 is 6.
Therefore, GCD of numbers 66, 78, 54 is 6
Given Input Data is 66, 78, 54
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 78 is 2 x 3 x 13
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 66, 78, 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(66, 78) = 858
GCD(66, 78) = ( 66 x 78 ) / 858
GCD(66, 78) = 5148 / 858
GCD(66, 78) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 54) = 54
GCD(6, 54) = ( 6 x 54 ) / 54
GCD(6, 54) = 324 / 54
GCD(6, 54) = 6
GCD of 66, 78, 54 is 6
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FAQs on GCD of numbers 66, 78, 54
1. What is the GCD of 66, 78, 54?
GCD of 66, 78, 54 is 6
2. Where do I get the detailed procedure to find GCD of 66, 78, 54?
You can find a detailed procedure to find GCD of 66, 78, 54 on our page.
3. How to find GCD of 66, 78, 54 on a calculator?
You can find the GCD of 66, 78, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.