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, 496, 822, 171 i.e. 1 largest integer that divides all the numbers equally.
GCD of 797, 496, 822, 171 is 1
GCD(797, 496, 822, 171) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 797, 496, 822, 171 is 1
GCD(797, 496, 822, 171) = 1
Given Input numbers are 797, 496, 822, 171
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 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Greatest Common Divisior
We found the divisors of 797, 496, 822, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 797, 496, 822, 171 is 1.
Therefore, GCD of numbers 797, 496, 822, 171 is 1
Given Input Data is 797, 496, 822, 171
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 797 is 797
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 171 is 3 x 3 x 19
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, 496) = 395312
GCD(797, 496) = ( 797 x 496 ) / 395312
GCD(797, 496) = 395312 / 395312
GCD(797, 496) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 822
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 822) = 822
GCD(1, 822) = ( 1 x 822 ) / 822
GCD(1, 822) = 822 / 822
GCD(1, 822) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
GCD(1, 171) = 171 / 171
GCD(1, 171) = 1
GCD of 797, 496, 822, 171 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 797, 496, 822, 171?
GCD of 797, 496, 822, 171 is 1
2. Where do I get the detailed procedure to find GCD of 797, 496, 822, 171?
You can find a detailed procedure to find GCD of 797, 496, 822, 171 on our page.
3. How to find GCD of 797, 496, 822, 171 on a calculator?
You can find the GCD of 797, 496, 822, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.