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 315, 324, 300, 111 i.e. 3 largest integer that divides all the numbers equally.
GCD of 315, 324, 300, 111 is 3
GCD(315, 324, 300, 111) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 324, 300, 111 is 3
GCD(315, 324, 300, 111) = 3
Given Input numbers are 315, 324, 300, 111
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Greatest Common Divisior
We found the divisors of 315, 324, 300, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 324, 300, 111 is 3.
Therefore, GCD of numbers 315, 324, 300, 111 is 3
Given Input Data is 315, 324, 300, 111
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 111 is 3 x 37
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(315, 324) = 11340
GCD(315, 324) = ( 315 x 324 ) / 11340
GCD(315, 324) = 102060 / 11340
GCD(315, 324) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 300) = 900
GCD(9, 300) = ( 9 x 300 ) / 900
GCD(9, 300) = 2700 / 900
GCD(9, 300) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 111) = 111
GCD(3, 111) = ( 3 x 111 ) / 111
GCD(3, 111) = 333 / 111
GCD(3, 111) = 3
GCD of 315, 324, 300, 111 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 315, 324, 300, 111?
GCD of 315, 324, 300, 111 is 3
2. Where do I get the detailed procedure to find GCD of 315, 324, 300, 111?
You can find a detailed procedure to find GCD of 315, 324, 300, 111 on our page.
3. How to find GCD of 315, 324, 300, 111 on a calculator?
You can find the GCD of 315, 324, 300, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.