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 997, 325, 309, 940 i.e. 1 largest integer that divides all the numbers equally.
GCD of 997, 325, 309, 940 is 1
GCD(997, 325, 309, 940) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 997, 325, 309, 940 is 1
GCD(997, 325, 309, 940) = 1
Given Input numbers are 997, 325, 309, 940
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Greatest Common Divisior
We found the divisors of 997, 325, 309, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 325, 309, 940 is 1.
Therefore, GCD of numbers 997, 325, 309, 940 is 1
Given Input Data is 997, 325, 309, 940
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 997 is 997
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 309 is 3 x 103
Prime Factorization of 940 is 2 x 2 x 5 x 47
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(997, 325) = 324025
GCD(997, 325) = ( 997 x 325 ) / 324025
GCD(997, 325) = 324025 / 324025
GCD(997, 325) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
GCD(1, 309) = 309 / 309
GCD(1, 309) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
GCD of 997, 325, 309, 940 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 997, 325, 309, 940?
GCD of 997, 325, 309, 940 is 1
2. Where do I get the detailed procedure to find GCD of 997, 325, 309, 940?
You can find a detailed procedure to find GCD of 997, 325, 309, 940 on our page.
3. How to find GCD of 997, 325, 309, 940 on a calculator?
You can find the GCD of 997, 325, 309, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.