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 17, 131, 181, 807 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 131, 181, 807 is 1
GCD(17, 131, 181, 807) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 131, 181, 807 is 1
GCD(17, 131, 181, 807) = 1
Given Input numbers are 17, 131, 181, 807
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Greatest Common Divisior
We found the divisors of 17, 131, 181, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 131, 181, 807 is 1.
Therefore, GCD of numbers 17, 131, 181, 807 is 1
Given Input Data is 17, 131, 181, 807
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 131 is 131
Prime Factorization of 181 is 181
Prime Factorization of 807 is 3 x 269
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(17, 131) = 2227
GCD(17, 131) = ( 17 x 131 ) / 2227
GCD(17, 131) = 2227 / 2227
GCD(17, 131) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 181
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 181) = 181
GCD(1, 181) = ( 1 x 181 ) / 181
GCD(1, 181) = 181 / 181
GCD(1, 181) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 807
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 807) = 807
GCD(1, 807) = ( 1 x 807 ) / 807
GCD(1, 807) = 807 / 807
GCD(1, 807) = 1
GCD of 17, 131, 181, 807 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 17, 131, 181, 807?
GCD of 17, 131, 181, 807 is 1
2. Where do I get the detailed procedure to find GCD of 17, 131, 181, 807?
You can find a detailed procedure to find GCD of 17, 131, 181, 807 on our page.
3. How to find GCD of 17, 131, 181, 807 on a calculator?
You can find the GCD of 17, 131, 181, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.