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, 687, 528, 185 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 687, 528, 185 is 1
GCD(17, 687, 528, 185) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 687, 528, 185 is 1
GCD(17, 687, 528, 185) = 1
Given Input numbers are 17, 687, 528, 185
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 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Greatest Common Divisior
We found the divisors of 17, 687, 528, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 687, 528, 185 is 1.
Therefore, GCD of numbers 17, 687, 528, 185 is 1
Given Input Data is 17, 687, 528, 185
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 687 is 3 x 229
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 185 is 5 x 37
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, 687) = 11679
GCD(17, 687) = ( 17 x 687 ) / 11679
GCD(17, 687) = 11679 / 11679
GCD(17, 687) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 528) = 528
GCD(1, 528) = ( 1 x 528 ) / 528
GCD(1, 528) = 528 / 528
GCD(1, 528) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 185
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 185) = 185
GCD(1, 185) = ( 1 x 185 ) / 185
GCD(1, 185) = 185 / 185
GCD(1, 185) = 1
GCD of 17, 687, 528, 185 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 17, 687, 528, 185?
GCD of 17, 687, 528, 185 is 1
2. Where do I get the detailed procedure to find GCD of 17, 687, 528, 185?
You can find a detailed procedure to find GCD of 17, 687, 528, 185 on our page.
3. How to find GCD of 17, 687, 528, 185 on a calculator?
You can find the GCD of 17, 687, 528, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.