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 536, 317, 90, 580 i.e. 1 largest integer that divides all the numbers equally.
GCD of 536, 317, 90, 580 is 1
GCD(536, 317, 90, 580) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 317, 90, 580 is 1
GCD(536, 317, 90, 580) = 1
Given Input numbers are 536, 317, 90, 580
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Greatest Common Divisior
We found the divisors of 536, 317, 90, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 317, 90, 580 is 1.
Therefore, GCD of numbers 536, 317, 90, 580 is 1
Given Input Data is 536, 317, 90, 580
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 317 is 317
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 580 is 2 x 2 x 5 x 29
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(536, 317) = 169912
GCD(536, 317) = ( 536 x 317 ) / 169912
GCD(536, 317) = 169912 / 169912
GCD(536, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 580
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 580) = 580
GCD(1, 580) = ( 1 x 580 ) / 580
GCD(1, 580) = 580 / 580
GCD(1, 580) = 1
GCD of 536, 317, 90, 580 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 317, 90, 580?
GCD of 536, 317, 90, 580 is 1
2. Where do I get the detailed procedure to find GCD of 536, 317, 90, 580?
You can find a detailed procedure to find GCD of 536, 317, 90, 580 on our page.
3. How to find GCD of 536, 317, 90, 580 on a calculator?
You can find the GCD of 536, 317, 90, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.