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 381, 997, 45, 303 i.e. 1 largest integer that divides all the numbers equally.
GCD of 381, 997, 45, 303 is 1
GCD(381, 997, 45, 303) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 381, 997, 45, 303 is 1
GCD(381, 997, 45, 303) = 1
Given Input numbers are 381, 997, 45, 303
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Greatest Common Divisior
We found the divisors of 381, 997, 45, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 997, 45, 303 is 1.
Therefore, GCD of numbers 381, 997, 45, 303 is 1
Given Input Data is 381, 997, 45, 303
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 381 is 3 x 127
Prime Factorization of 997 is 997
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 303 is 3 x 101
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(381, 997) = 379857
GCD(381, 997) = ( 381 x 997 ) / 379857
GCD(381, 997) = 379857 / 379857
GCD(381, 997) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 303
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 303) = 303
GCD(1, 303) = ( 1 x 303 ) / 303
GCD(1, 303) = 303 / 303
GCD(1, 303) = 1
GCD of 381, 997, 45, 303 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 381, 997, 45, 303?
GCD of 381, 997, 45, 303 is 1
2. Where do I get the detailed procedure to find GCD of 381, 997, 45, 303?
You can find a detailed procedure to find GCD of 381, 997, 45, 303 on our page.
3. How to find GCD of 381, 997, 45, 303 on a calculator?
You can find the GCD of 381, 997, 45, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.