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 318, 305, 940, 318 i.e. 1 largest integer that divides all the numbers equally.
GCD of 318, 305, 940, 318 is 1
GCD(318, 305, 940, 318) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 318, 305, 940, 318 is 1
GCD(318, 305, 940, 318) = 1
Given Input numbers are 318, 305, 940, 318
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
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
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Greatest Common Divisior
We found the divisors of 318, 305, 940, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 305, 940, 318 is 1.
Therefore, GCD of numbers 318, 305, 940, 318 is 1
Given Input Data is 318, 305, 940, 318
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 305 is 5 x 61
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 318 is 2 x 3 x 53
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(318, 305) = 96990
GCD(318, 305) = ( 318 x 305 ) / 96990
GCD(318, 305) = 96990 / 96990
GCD(318, 305) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
GCD of 318, 305, 940, 318 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 318, 305, 940, 318?
GCD of 318, 305, 940, 318 is 1
2. Where do I get the detailed procedure to find GCD of 318, 305, 940, 318?
You can find a detailed procedure to find GCD of 318, 305, 940, 318 on our page.
3. How to find GCD of 318, 305, 940, 318 on a calculator?
You can find the GCD of 318, 305, 940, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.