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 998, 116, 528, 395 i.e. 1 largest integer that divides all the numbers equally.
GCD of 998, 116, 528, 395 is 1
GCD(998, 116, 528, 395) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 998, 116, 528, 395 is 1
GCD(998, 116, 528, 395) = 1
Given Input numbers are 998, 116, 528, 395
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Greatest Common Divisior
We found the divisors of 998, 116, 528, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 116, 528, 395 is 1.
Therefore, GCD of numbers 998, 116, 528, 395 is 1
Given Input Data is 998, 116, 528, 395
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 998 is 2 x 499
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 395 is 5 x 79
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(998, 116) = 57884
GCD(998, 116) = ( 998 x 116 ) / 57884
GCD(998, 116) = 115768 / 57884
GCD(998, 116) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 528) = 528
GCD(2, 528) = ( 2 x 528 ) / 528
GCD(2, 528) = 1056 / 528
GCD(2, 528) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 395) = 790
GCD(2, 395) = ( 2 x 395 ) / 790
GCD(2, 395) = 790 / 790
GCD(2, 395) = 1
GCD of 998, 116, 528, 395 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 998, 116, 528, 395?
GCD of 998, 116, 528, 395 is 1
2. Where do I get the detailed procedure to find GCD of 998, 116, 528, 395?
You can find a detailed procedure to find GCD of 998, 116, 528, 395 on our page.
3. How to find GCD of 998, 116, 528, 395 on a calculator?
You can find the GCD of 998, 116, 528, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.