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, 194, 73, 301 i.e. 1 largest integer that divides all the numbers equally.
GCD of 998, 194, 73, 301 is 1
GCD(998, 194, 73, 301) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 998, 194, 73, 301 is 1
GCD(998, 194, 73, 301) = 1
Given Input numbers are 998, 194, 73, 301
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 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Greatest Common Divisior
We found the divisors of 998, 194, 73, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 194, 73, 301 is 1.
Therefore, GCD of numbers 998, 194, 73, 301 is 1
Given Input Data is 998, 194, 73, 301
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 998 is 2 x 499
Prime Factorization of 194 is 2 x 97
Prime Factorization of 73 is 73
Prime Factorization of 301 is 7 x 43
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, 194) = 96806
GCD(998, 194) = ( 998 x 194 ) / 96806
GCD(998, 194) = 193612 / 96806
GCD(998, 194) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
GCD(1, 301) = 301 / 301
GCD(1, 301) = 1
GCD of 998, 194, 73, 301 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 998, 194, 73, 301?
GCD of 998, 194, 73, 301 is 1
2. Where do I get the detailed procedure to find GCD of 998, 194, 73, 301?
You can find a detailed procedure to find GCD of 998, 194, 73, 301 on our page.
3. How to find GCD of 998, 194, 73, 301 on a calculator?
You can find the GCD of 998, 194, 73, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.