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 272, 792, 326, 815 i.e. 1 largest integer that divides all the numbers equally.
GCD of 272, 792, 326, 815 is 1
GCD(272, 792, 326, 815) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 272, 792, 326, 815 is 1
GCD(272, 792, 326, 815) = 1
Given Input numbers are 272, 792, 326, 815
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Greatest Common Divisior
We found the divisors of 272, 792, 326, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 792, 326, 815 is 1.
Therefore, GCD of numbers 272, 792, 326, 815 is 1
Given Input Data is 272, 792, 326, 815
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 326 is 2 x 163
Prime Factorization of 815 is 5 x 163
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(272, 792) = 26928
GCD(272, 792) = ( 272 x 792 ) / 26928
GCD(272, 792) = 215424 / 26928
GCD(272, 792) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 326) = 1304
GCD(8, 326) = ( 8 x 326 ) / 1304
GCD(8, 326) = 2608 / 1304
GCD(8, 326) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 815
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 815) = 1630
GCD(2, 815) = ( 2 x 815 ) / 1630
GCD(2, 815) = 1630 / 1630
GCD(2, 815) = 1
GCD of 272, 792, 326, 815 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 272, 792, 326, 815?
GCD of 272, 792, 326, 815 is 1
2. Where do I get the detailed procedure to find GCD of 272, 792, 326, 815?
You can find a detailed procedure to find GCD of 272, 792, 326, 815 on our page.
3. How to find GCD of 272, 792, 326, 815 on a calculator?
You can find the GCD of 272, 792, 326, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.