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, 358, 564, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 358, 564, 335 is 1
GCD(17, 358, 564, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 358, 564, 335 is 1
GCD(17, 358, 564, 335) = 1
Given Input numbers are 17, 358, 564, 335
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 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 17, 358, 564, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 358, 564, 335 is 1.
Therefore, GCD of numbers 17, 358, 564, 335 is 1
Given Input Data is 17, 358, 564, 335
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 358 is 2 x 179
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 335 is 5 x 67
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, 358) = 6086
GCD(17, 358) = ( 17 x 358 ) / 6086
GCD(17, 358) = 6086 / 6086
GCD(17, 358) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
GCD(1, 335) = 335 / 335
GCD(1, 335) = 1
GCD of 17, 358, 564, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 17, 358, 564, 335?
GCD of 17, 358, 564, 335 is 1
2. Where do I get the detailed procedure to find GCD of 17, 358, 564, 335?
You can find a detailed procedure to find GCD of 17, 358, 564, 335 on our page.
3. How to find GCD of 17, 358, 564, 335 on a calculator?
You can find the GCD of 17, 358, 564, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.