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 797, 460, 272, 191 i.e. 1 largest integer that divides all the numbers equally.
GCD of 797, 460, 272, 191 is 1
GCD(797, 460, 272, 191) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 797, 460, 272, 191 is 1
GCD(797, 460, 272, 191) = 1
Given Input numbers are 797, 460, 272, 191
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
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 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Greatest Common Divisior
We found the divisors of 797, 460, 272, 191 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 797, 460, 272, 191 is 1.
Therefore, GCD of numbers 797, 460, 272, 191 is 1
Given Input Data is 797, 460, 272, 191
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 797 is 797
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 191 is 191
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(797, 460) = 366620
GCD(797, 460) = ( 797 x 460 ) / 366620
GCD(797, 460) = 366620 / 366620
GCD(797, 460) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 191
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 191) = 191
GCD(1, 191) = ( 1 x 191 ) / 191
GCD(1, 191) = 191 / 191
GCD(1, 191) = 1
GCD of 797, 460, 272, 191 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 797, 460, 272, 191?
GCD of 797, 460, 272, 191 is 1
2. Where do I get the detailed procedure to find GCD of 797, 460, 272, 191?
You can find a detailed procedure to find GCD of 797, 460, 272, 191 on our page.
3. How to find GCD of 797, 460, 272, 191 on a calculator?
You can find the GCD of 797, 460, 272, 191 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.