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, 262, 73, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 998, 262, 73, 241 is 1
GCD(998, 262, 73, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 998, 262, 73, 241 is 1
GCD(998, 262, 73, 241) = 1
Given Input numbers are 998, 262, 73, 241
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 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 998, 262, 73, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 262, 73, 241 is 1.
Therefore, GCD of numbers 998, 262, 73, 241 is 1
Given Input Data is 998, 262, 73, 241
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 998 is 2 x 499
Prime Factorization of 262 is 2 x 131
Prime Factorization of 73 is 73
Prime Factorization of 241 is 241
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, 262) = 130738
GCD(998, 262) = ( 998 x 262 ) / 130738
GCD(998, 262) = 261476 / 130738
GCD(998, 262) = 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 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 1
GCD of 998, 262, 73, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 998, 262, 73, 241?
GCD of 998, 262, 73, 241 is 1
2. Where do I get the detailed procedure to find GCD of 998, 262, 73, 241?
You can find a detailed procedure to find GCD of 998, 262, 73, 241 on our page.
3. How to find GCD of 998, 262, 73, 241 on a calculator?
You can find the GCD of 998, 262, 73, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.