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 988, 489, 116, 898 i.e. 1 largest integer that divides all the numbers equally.
GCD of 988, 489, 116, 898 is 1
GCD(988, 489, 116, 898) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 988, 489, 116, 898 is 1
GCD(988, 489, 116, 898) = 1
Given Input numbers are 988, 489, 116, 898
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Greatest Common Divisior
We found the divisors of 988, 489, 116, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 489, 116, 898 is 1.
Therefore, GCD of numbers 988, 489, 116, 898 is 1
Given Input Data is 988, 489, 116, 898
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 489 is 3 x 163
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 898 is 2 x 449
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(988, 489) = 483132
GCD(988, 489) = ( 988 x 489 ) / 483132
GCD(988, 489) = 483132 / 483132
GCD(988, 489) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 898
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 898) = 898
GCD(1, 898) = ( 1 x 898 ) / 898
GCD(1, 898) = 898 / 898
GCD(1, 898) = 1
GCD of 988, 489, 116, 898 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 988, 489, 116, 898?
GCD of 988, 489, 116, 898 is 1
2. Where do I get the detailed procedure to find GCD of 988, 489, 116, 898?
You can find a detailed procedure to find GCD of 988, 489, 116, 898 on our page.
3. How to find GCD of 988, 489, 116, 898 on a calculator?
You can find the GCD of 988, 489, 116, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.