GCD of 20, 72, 38 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 20, 72, 38 i.e. 2 largest integer that divides all the numbers equally.
GCD of 20, 72, 38 is 2
GCD(20, 72, 38) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 72, 38 is 2
GCD(20, 72, 38) = 2
GCDof 20,72,38 is 2
Given Input numbers are 20, 72, 38
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
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 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Greatest Common Divisior
We found the divisors of 20, 72, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 72, 38 is 2.
Therefore, GCD of numbers 20, 72, 38 is 2
Given Input Data is 20, 72, 38
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 38 is 2 x 19
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 20, 72, 38 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(20, 72) = 360
GCD(20, 72) = ( 20 x 72 ) / 360
GCD(20, 72) = 1440 / 360
GCD(20, 72) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 38) = 76
GCD(4, 38) = ( 4 x 38 ) / 76
GCD(4, 38) = 152 / 76
GCD(4, 38) = 2
GCD of 20, 72, 38 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 20, 72, 38
1. What is the GCD of 20, 72, 38?
GCD of 20, 72, 38 is 2
2. Where do I get the detailed procedure to find GCD of 20, 72, 38?
You can find a detailed procedure to find GCD of 20, 72, 38 on our page.
3. How to find GCD of 20, 72, 38 on a calculator?
You can find the GCD of 20, 72, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.