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 986, 717, 181, 104 i.e. 1 largest integer that divides all the numbers equally.
GCD of 986, 717, 181, 104 is 1
GCD(986, 717, 181, 104) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 986, 717, 181, 104 is 1
GCD(986, 717, 181, 104) = 1
Given Input numbers are 986, 717, 181, 104
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Greatest Common Divisior
We found the divisors of 986, 717, 181, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 717, 181, 104 is 1.
Therefore, GCD of numbers 986, 717, 181, 104 is 1
Given Input Data is 986, 717, 181, 104
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 717 is 3 x 239
Prime Factorization of 181 is 181
Prime Factorization of 104 is 2 x 2 x 2 x 13
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(986, 717) = 706962
GCD(986, 717) = ( 986 x 717 ) / 706962
GCD(986, 717) = 706962 / 706962
GCD(986, 717) = 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 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
GCD(1, 104) = 104 / 104
GCD(1, 104) = 1
GCD of 986, 717, 181, 104 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 986, 717, 181, 104?
GCD of 986, 717, 181, 104 is 1
2. Where do I get the detailed procedure to find GCD of 986, 717, 181, 104?
You can find a detailed procedure to find GCD of 986, 717, 181, 104 on our page.
3. How to find GCD of 986, 717, 181, 104 on a calculator?
You can find the GCD of 986, 717, 181, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.