GCD of 90, 27, 78 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 90, 27, 78 i.e. 3 largest integer that divides all the numbers equally.
GCD of 90, 27, 78 is 3
GCD(90, 27, 78) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 90, 27, 78 is 3
GCD(90, 27, 78) = 3
GCDof 90,27,78 is 3
Given Input numbers are 90, 27, 78
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Greatest Common Divisior
We found the divisors of 90, 27, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 27, 78 is 3.
Therefore, GCD of numbers 90, 27, 78 is 3
Given Input Data is 90, 27, 78
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 78 is 2 x 3 x 13
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 90, 27, 78 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(90, 27) = 270
GCD(90, 27) = ( 90 x 27 ) / 270
GCD(90, 27) = 2430 / 270
GCD(90, 27) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 78) = 234
GCD(9, 78) = ( 9 x 78 ) / 234
GCD(9, 78) = 702 / 234
GCD(9, 78) = 3
GCD of 90, 27, 78 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 90, 27, 78
1. What is the GCD of 90, 27, 78?
GCD of 90, 27, 78 is 3
2. Where do I get the detailed procedure to find GCD of 90, 27, 78?
You can find a detailed procedure to find GCD of 90, 27, 78 on our page.
3. How to find GCD of 90, 27, 78 on a calculator?
You can find the GCD of 90, 27, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.