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 809, 123, 161, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 809, 123, 161, 913 is 1
GCD(809, 123, 161, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 809, 123, 161, 913 is 1
GCD(809, 123, 161, 913) = 1
Given Input numbers are 809, 123, 161, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 809, 123, 161, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 123, 161, 913 is 1.
Therefore, GCD of numbers 809, 123, 161, 913 is 1
Given Input Data is 809, 123, 161, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 809 is 809
Prime Factorization of 123 is 3 x 41
Prime Factorization of 161 is 7 x 23
Prime Factorization of 913 is 11 x 83
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(809, 123) = 99507
GCD(809, 123) = ( 809 x 123 ) / 99507
GCD(809, 123) = 99507 / 99507
GCD(809, 123) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
GCD(1, 161) = 161 / 161
GCD(1, 161) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
GCD of 809, 123, 161, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 809, 123, 161, 913?
GCD of 809, 123, 161, 913 is 1
2. Where do I get the detailed procedure to find GCD of 809, 123, 161, 913?
You can find a detailed procedure to find GCD of 809, 123, 161, 913 on our page.
3. How to find GCD of 809, 123, 161, 913 on a calculator?
You can find the GCD of 809, 123, 161, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.