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, 995, 323, 424 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 995, 323, 424 is 1
GCD(72, 995, 323, 424) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 995, 323, 424 is 1
GCD(72, 995, 323, 424) = 1
Given Input numbers are 72, 995, 323, 424
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 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Greatest Common Divisior
We found the divisors of 72, 995, 323, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 995, 323, 424 is 1.
Therefore, GCD of numbers 72, 995, 323, 424 is 1
Given Input Data is 72, 995, 323, 424
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 995 is 5 x 199
Prime Factorization of 323 is 17 x 19
Prime Factorization of 424 is 2 x 2 x 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
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, 995) = 71640
GCD(72, 995) = ( 72 x 995 ) / 71640
GCD(72, 995) = 71640 / 71640
GCD(72, 995) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
GCD(1, 424) = 424 / 424
GCD(1, 424) = 1
GCD of 72, 995, 323, 424 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 995, 323, 424?
GCD of 72, 995, 323, 424 is 1
2. Where do I get the detailed procedure to find GCD of 72, 995, 323, 424?
You can find a detailed procedure to find GCD of 72, 995, 323, 424 on our page.
3. How to find GCD of 72, 995, 323, 424 on a calculator?
You can find the GCD of 72, 995, 323, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.