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, 959, 860, 242 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 959, 860, 242 is 1
GCD(17, 959, 860, 242) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 959, 860, 242 is 1
GCD(17, 959, 860, 242) = 1
Given Input numbers are 17, 959, 860, 242
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 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Greatest Common Divisior
We found the divisors of 17, 959, 860, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 959, 860, 242 is 1.
Therefore, GCD of numbers 17, 959, 860, 242 is 1
Given Input Data is 17, 959, 860, 242
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 959 is 7 x 137
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 242 is 2 x 11 x 11
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, 959) = 16303
GCD(17, 959) = ( 17 x 959 ) / 16303
GCD(17, 959) = 16303 / 16303
GCD(17, 959) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 860) = 860
GCD(1, 860) = ( 1 x 860 ) / 860
GCD(1, 860) = 860 / 860
GCD(1, 860) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
GCD(1, 242) = 242 / 242
GCD(1, 242) = 1
GCD of 17, 959, 860, 242 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 17, 959, 860, 242?
GCD of 17, 959, 860, 242 is 1
2. Where do I get the detailed procedure to find GCD of 17, 959, 860, 242?
You can find a detailed procedure to find GCD of 17, 959, 860, 242 on our page.
3. How to find GCD of 17, 959, 860, 242 on a calculator?
You can find the GCD of 17, 959, 860, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.