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 312, 936, 375 i.e. 3 largest integer that divides all the numbers equally.
GCD of 312, 936, 375 is 3
GCD(312, 936, 375) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 312, 936, 375 is 3
GCD(312, 936, 375) = 3
Given Input numbers are 312, 936, 375
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Greatest Common Divisior
We found the divisors of 312, 936, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 936, 375 is 3.
Therefore, GCD of numbers 312, 936, 375 is 3
Given Input Data is 312, 936, 375
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 375 is 3 x 5 x 5 x 5
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(312, 936) = 936
GCD(312, 936) = ( 312 x 936 ) / 936
GCD(312, 936) = 292032 / 936
GCD(312, 936) = 312
Step2:
Here we consider the GCD from the above i.e. 312 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(312, 375) = 39000
GCD(312, 375) = ( 312 x 375 ) / 39000
GCD(312, 375) = 117000 / 39000
GCD(312, 375) = 3
GCD of 312, 936, 375 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 312, 936, 375?
GCD of 312, 936, 375 is 3
2. Where do I get the detailed procedure to find GCD of 312, 936, 375?
You can find a detailed procedure to find GCD of 312, 936, 375 on our page.
3. How to find GCD of 312, 936, 375 on a calculator?
You can find the GCD of 312, 936, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.