GCD of 40, 24, 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 40, 24, 78 i.e. 2 largest integer that divides all the numbers equally.
GCD of 40, 24, 78 is 2
GCD(40, 24, 78) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 24, 78 is 2
GCD(40, 24, 78) = 2
GCDof 40,24,78 is 2
Given Input numbers are 40, 24, 78
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
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 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 40, 24, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 24, 78 is 2.
Therefore, GCD of numbers 40, 24, 78 is 2
Given Input Data is 40, 24, 78
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 78 is 2 x 3 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 40, 24, 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(40, 24) = 120
GCD(40, 24) = ( 40 x 24 ) / 120
GCD(40, 24) = 960 / 120
GCD(40, 24) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 78) = 312
GCD(8, 78) = ( 8 x 78 ) / 312
GCD(8, 78) = 624 / 312
GCD(8, 78) = 2
GCD of 40, 24, 78 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 40, 24, 78
1. What is the GCD of 40, 24, 78?
GCD of 40, 24, 78 is 2
2. Where do I get the detailed procedure to find GCD of 40, 24, 78?
You can find a detailed procedure to find GCD of 40, 24, 78 on our page.
3. How to find GCD of 40, 24, 78 on a calculator?
You can find the GCD of 40, 24, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.