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 581, 268, 17, 936 i.e. 1 largest integer that divides all the numbers equally.
GCD of 581, 268, 17, 936 is 1
GCD(581, 268, 17, 936) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 581, 268, 17, 936 is 1
GCD(581, 268, 17, 936) = 1
Given Input numbers are 581, 268, 17, 936
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 581
List of positive integer divisors of 581 that divides 581 without a remainder.
1, 7, 83, 581
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Greatest Common Divisior
We found the divisors of 581, 268, 17, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 581, 268, 17, 936 is 1.
Therefore, GCD of numbers 581, 268, 17, 936 is 1
Given Input Data is 581, 268, 17, 936
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 581 is 7 x 83
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 17 is 17
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
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(581, 268) = 155708
GCD(581, 268) = ( 581 x 268 ) / 155708
GCD(581, 268) = 155708 / 155708
GCD(581, 268) = 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 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
GCD of 581, 268, 17, 936 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 581, 268, 17, 936?
GCD of 581, 268, 17, 936 is 1
2. Where do I get the detailed procedure to find GCD of 581, 268, 17, 936?
You can find a detailed procedure to find GCD of 581, 268, 17, 936 on our page.
3. How to find GCD of 581, 268, 17, 936 on a calculator?
You can find the GCD of 581, 268, 17, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.