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 58, 990, 489, 263 i.e. 1 largest integer that divides all the numbers equally.
GCD of 58, 990, 489, 263 is 1
GCD(58, 990, 489, 263) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 990, 489, 263 is 1
GCD(58, 990, 489, 263) = 1
Given Input numbers are 58, 990, 489, 263
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Greatest Common Divisior
We found the divisors of 58, 990, 489, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 990, 489, 263 is 1.
Therefore, GCD of numbers 58, 990, 489, 263 is 1
Given Input Data is 58, 990, 489, 263
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 58 is 2 x 29
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 489 is 3 x 163
Prime Factorization of 263 is 263
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(58, 990) = 28710
GCD(58, 990) = ( 58 x 990 ) / 28710
GCD(58, 990) = 57420 / 28710
GCD(58, 990) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 489
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 489) = 978
GCD(2, 489) = ( 2 x 489 ) / 978
GCD(2, 489) = 978 / 978
GCD(2, 489) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 263) = 263
GCD(1, 263) = ( 1 x 263 ) / 263
GCD(1, 263) = 263 / 263
GCD(1, 263) = 1
GCD of 58, 990, 489, 263 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 58, 990, 489, 263?
GCD of 58, 990, 489, 263 is 1
2. Where do I get the detailed procedure to find GCD of 58, 990, 489, 263?
You can find a detailed procedure to find GCD of 58, 990, 489, 263 on our page.
3. How to find GCD of 58, 990, 489, 263 on a calculator?
You can find the GCD of 58, 990, 489, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.