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 559, 804, 17, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 559, 804, 17, 297 is 1
GCD(559, 804, 17, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 559, 804, 17, 297 is 1
GCD(559, 804, 17, 297) = 1
Given Input numbers are 559, 804, 17, 297
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 559, 804, 17, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 804, 17, 297 is 1.
Therefore, GCD of numbers 559, 804, 17, 297 is 1
Given Input Data is 559, 804, 17, 297
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 559 is 13 x 43
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 17 is 17
Prime Factorization of 297 is 3 x 3 x 3 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(559, 804) = 449436
GCD(559, 804) = ( 559 x 804 ) / 449436
GCD(559, 804) = 449436 / 449436
GCD(559, 804) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
GCD(1, 297) = 297 / 297
GCD(1, 297) = 1
GCD of 559, 804, 17, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 559, 804, 17, 297?
GCD of 559, 804, 17, 297 is 1
2. Where do I get the detailed procedure to find GCD of 559, 804, 17, 297?
You can find a detailed procedure to find GCD of 559, 804, 17, 297 on our page.
3. How to find GCD of 559, 804, 17, 297 on a calculator?
You can find the GCD of 559, 804, 17, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.