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, 144, 794, 909 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 144, 794, 909 is 1
GCD(17, 144, 794, 909) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 144, 794, 909 is 1
GCD(17, 144, 794, 909) = 1
Given Input numbers are 17, 144, 794, 909
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 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Greatest Common Divisior
We found the divisors of 17, 144, 794, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 144, 794, 909 is 1.
Therefore, GCD of numbers 17, 144, 794, 909 is 1
Given Input Data is 17, 144, 794, 909
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 794 is 2 x 397
Prime Factorization of 909 is 3 x 3 x 101
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, 144) = 2448
GCD(17, 144) = ( 17 x 144 ) / 2448
GCD(17, 144) = 2448 / 2448
GCD(17, 144) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 794
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 794) = 794
GCD(1, 794) = ( 1 x 794 ) / 794
GCD(1, 794) = 794 / 794
GCD(1, 794) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 909
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 909) = 909
GCD(1, 909) = ( 1 x 909 ) / 909
GCD(1, 909) = 909 / 909
GCD(1, 909) = 1
GCD of 17, 144, 794, 909 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 17, 144, 794, 909?
GCD of 17, 144, 794, 909 is 1
2. Where do I get the detailed procedure to find GCD of 17, 144, 794, 909?
You can find a detailed procedure to find GCD of 17, 144, 794, 909 on our page.
3. How to find GCD of 17, 144, 794, 909 on a calculator?
You can find the GCD of 17, 144, 794, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.