GCD of 38, 72, 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 38, 72, 78 i.e. 2 largest integer that divides all the numbers equally.
GCD of 38, 72, 78 is 2
GCD(38, 72, 78) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 38, 72, 78 is 2
GCD(38, 72, 78) = 2
GCDof 38,72,78 is 2
Given Input numbers are 38, 72, 78
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
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 38, 72, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 72, 78 is 2.
Therefore, GCD of numbers 38, 72, 78 is 2
Given Input Data is 38, 72, 78
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 38 is 2 x 19
Prime Factorization of 72 is 2 x 2 x 2 x 3 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 38, 72, 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(38, 72) = 1368
GCD(38, 72) = ( 38 x 72 ) / 1368
GCD(38, 72) = 2736 / 1368
GCD(38, 72) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 78) = 78
GCD(2, 78) = ( 2 x 78 ) / 78
GCD(2, 78) = 156 / 78
GCD(2, 78) = 2
GCD of 38, 72, 78 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 38, 72, 78
1. What is the GCD of 38, 72, 78?
GCD of 38, 72, 78 is 2
2. Where do I get the detailed procedure to find GCD of 38, 72, 78?
You can find a detailed procedure to find GCD of 38, 72, 78 on our page.
3. How to find GCD of 38, 72, 78 on a calculator?
You can find the GCD of 38, 72, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.