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, 158, 539, 590 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 158, 539, 590 is 1
GCD(17, 158, 539, 590) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 158, 539, 590 is 1
GCD(17, 158, 539, 590) = 1
Given Input numbers are 17, 158, 539, 590
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 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Greatest Common Divisior
We found the divisors of 17, 158, 539, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 158, 539, 590 is 1.
Therefore, GCD of numbers 17, 158, 539, 590 is 1
Given Input Data is 17, 158, 539, 590
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 158 is 2 x 79
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 590 is 2 x 5 x 59
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, 158) = 2686
GCD(17, 158) = ( 17 x 158 ) / 2686
GCD(17, 158) = 2686 / 2686
GCD(17, 158) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 539
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 539) = 539
GCD(1, 539) = ( 1 x 539 ) / 539
GCD(1, 539) = 539 / 539
GCD(1, 539) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 590
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 590) = 590
GCD(1, 590) = ( 1 x 590 ) / 590
GCD(1, 590) = 590 / 590
GCD(1, 590) = 1
GCD of 17, 158, 539, 590 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 17, 158, 539, 590?
GCD of 17, 158, 539, 590 is 1
2. Where do I get the detailed procedure to find GCD of 17, 158, 539, 590?
You can find a detailed procedure to find GCD of 17, 158, 539, 590 on our page.
3. How to find GCD of 17, 158, 539, 590 on a calculator?
You can find the GCD of 17, 158, 539, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.