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, 166, 736, 504 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 166, 736, 504 is 1
GCD(17, 166, 736, 504) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 166, 736, 504 is 1
GCD(17, 166, 736, 504) = 1
Given Input numbers are 17, 166, 736, 504
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 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Greatest Common Divisior
We found the divisors of 17, 166, 736, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 166, 736, 504 is 1.
Therefore, GCD of numbers 17, 166, 736, 504 is 1
Given Input Data is 17, 166, 736, 504
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 166 is 2 x 83
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
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, 166) = 2822
GCD(17, 166) = ( 17 x 166 ) / 2822
GCD(17, 166) = 2822 / 2822
GCD(17, 166) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
GCD(1, 736) = 736 / 736
GCD(1, 736) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 504
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 504) = 504
GCD(1, 504) = ( 1 x 504 ) / 504
GCD(1, 504) = 504 / 504
GCD(1, 504) = 1
GCD of 17, 166, 736, 504 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 17, 166, 736, 504?
GCD of 17, 166, 736, 504 is 1
2. Where do I get the detailed procedure to find GCD of 17, 166, 736, 504?
You can find a detailed procedure to find GCD of 17, 166, 736, 504 on our page.
3. How to find GCD of 17, 166, 736, 504 on a calculator?
You can find the GCD of 17, 166, 736, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.