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 72, 22, 38 i.e. 2 largest integer that divides all the numbers equally.
GCD of 72, 22, 38 is 2
GCD(72, 22, 38) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 22, 38 is 2
GCD(72, 22, 38) = 2
Given Input numbers are 72, 22, 38
To find the GCD of numbers using factoring list out all the divisors of each number
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 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
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 72, 22, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 22, 38 is 2.
Therefore, GCD of numbers 72, 22, 38 is 2
Given Input Data is 72, 22, 38
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 22 is 2 x 11
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
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(72, 22) = 792
GCD(72, 22) = ( 72 x 22 ) / 792
GCD(72, 22) = 1584 / 792
GCD(72, 22) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 38) = 38
GCD(2, 38) = ( 2 x 38 ) / 38
GCD(2, 38) = 76 / 38
GCD(2, 38) = 2
GCD of 72, 22, 38 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 22, 38?
GCD of 72, 22, 38 is 2
2. Where do I get the detailed procedure to find GCD of 72, 22, 38?
You can find a detailed procedure to find GCD of 72, 22, 38 on our page.
3. How to find GCD of 72, 22, 38 on a calculator?
You can find the GCD of 72, 22, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.