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 87, 933, 455, 589 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 933, 455, 589 is 1
GCD(87, 933, 455, 589) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 933, 455, 589 is 1
GCD(87, 933, 455, 589) = 1
Given Input numbers are 87, 933, 455, 589
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Greatest Common Divisior
We found the divisors of 87, 933, 455, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 933, 455, 589 is 1.
Therefore, GCD of numbers 87, 933, 455, 589 is 1
Given Input Data is 87, 933, 455, 589
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 933 is 3 x 311
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 589 is 19 x 31
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(87, 933) = 27057
GCD(87, 933) = ( 87 x 933 ) / 27057
GCD(87, 933) = 81171 / 27057
GCD(87, 933) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 455
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 455) = 1365
GCD(3, 455) = ( 3 x 455 ) / 1365
GCD(3, 455) = 1365 / 1365
GCD(3, 455) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
GCD(1, 589) = 589 / 589
GCD(1, 589) = 1
GCD of 87, 933, 455, 589 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 933, 455, 589?
GCD of 87, 933, 455, 589 is 1
2. Where do I get the detailed procedure to find GCD of 87, 933, 455, 589?
You can find a detailed procedure to find GCD of 87, 933, 455, 589 on our page.
3. How to find GCD of 87, 933, 455, 589 on a calculator?
You can find the GCD of 87, 933, 455, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.