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 171, 719, 41, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 171, 719, 41, 797 is 1
GCD(171, 719, 41, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 171, 719, 41, 797 is 1
GCD(171, 719, 41, 797) = 1
Given Input numbers are 171, 719, 41, 797
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 719
List of positive integer divisors of 719 that divides 719 without a remainder.
1, 719
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 171, 719, 41, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 719, 41, 797 is 1.
Therefore, GCD of numbers 171, 719, 41, 797 is 1
Given Input Data is 171, 719, 41, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 719 is 719
Prime Factorization of 41 is 41
Prime Factorization of 797 is 797
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(171, 719) = 122949
GCD(171, 719) = ( 171 x 719 ) / 122949
GCD(171, 719) = 122949 / 122949
GCD(171, 719) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 41) = 41
GCD(1, 41) = ( 1 x 41 ) / 41
GCD(1, 41) = 41 / 41
GCD(1, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
GCD(1, 797) = 797 / 797
GCD(1, 797) = 1
GCD of 171, 719, 41, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 171, 719, 41, 797?
GCD of 171, 719, 41, 797 is 1
2. Where do I get the detailed procedure to find GCD of 171, 719, 41, 797?
You can find a detailed procedure to find GCD of 171, 719, 41, 797 on our page.
3. How to find GCD of 171, 719, 41, 797 on a calculator?
You can find the GCD of 171, 719, 41, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.