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 360, 103, 928, 318 i.e. 1 largest integer that divides all the numbers equally.
GCD of 360, 103, 928, 318 is 1
GCD(360, 103, 928, 318) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 103, 928, 318 is 1
GCD(360, 103, 928, 318) = 1
Given Input numbers are 360, 103, 928, 318
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
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 360, 103, 928, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 103, 928, 318 is 1.
Therefore, GCD of numbers 360, 103, 928, 318 is 1
Given Input Data is 360, 103, 928, 318
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 103 is 103
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
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(360, 103) = 37080
GCD(360, 103) = ( 360 x 103 ) / 37080
GCD(360, 103) = 37080 / 37080
GCD(360, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
GCD(1, 928) = 928 / 928
GCD(1, 928) = 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 360, 103, 928, 318 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 360, 103, 928, 318?
GCD of 360, 103, 928, 318 is 1
2. Where do I get the detailed procedure to find GCD of 360, 103, 928, 318?
You can find a detailed procedure to find GCD of 360, 103, 928, 318 on our page.
3. How to find GCD of 360, 103, 928, 318 on a calculator?
You can find the GCD of 360, 103, 928, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.