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 111, 299, 97, 998 i.e. 1 largest integer that divides all the numbers equally.
GCD of 111, 299, 97, 998 is 1
GCD(111, 299, 97, 998) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 111, 299, 97, 998 is 1
GCD(111, 299, 97, 998) = 1
Given Input numbers are 111, 299, 97, 998
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Greatest Common Divisior
We found the divisors of 111, 299, 97, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 299, 97, 998 is 1.
Therefore, GCD of numbers 111, 299, 97, 998 is 1
Given Input Data is 111, 299, 97, 998
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 111 is 3 x 37
Prime Factorization of 299 is 13 x 23
Prime Factorization of 97 is 97
Prime Factorization of 998 is 2 x 499
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(111, 299) = 33189
GCD(111, 299) = ( 111 x 299 ) / 33189
GCD(111, 299) = 33189 / 33189
GCD(111, 299) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 97) = 97
GCD(1, 97) = ( 1 x 97 ) / 97
GCD(1, 97) = 97 / 97
GCD(1, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
GCD(1, 998) = 998 / 998
GCD(1, 998) = 1
GCD of 111, 299, 97, 998 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 111, 299, 97, 998?
GCD of 111, 299, 97, 998 is 1
2. Where do I get the detailed procedure to find GCD of 111, 299, 97, 998?
You can find a detailed procedure to find GCD of 111, 299, 97, 998 on our page.
3. How to find GCD of 111, 299, 97, 998 on a calculator?
You can find the GCD of 111, 299, 97, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.