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 375, 936, 972 i.e. 3 largest integer that divides all the numbers equally.
GCD of 375, 936, 972 is 3
GCD(375, 936, 972) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 375, 936, 972 is 3
GCD(375, 936, 972) = 3
Given Input numbers are 375, 936, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
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 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Greatest Common Divisior
We found the divisors of 375, 936, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 936, 972 is 3.
Therefore, GCD of numbers 375, 936, 972 is 3
Given Input Data is 375, 936, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
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(375, 936) = 117000
GCD(375, 936) = ( 375 x 936 ) / 117000
GCD(375, 936) = 351000 / 117000
GCD(375, 936) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 972) = 972
GCD(3, 972) = ( 3 x 972 ) / 972
GCD(3, 972) = 2916 / 972
GCD(3, 972) = 3
GCD of 375, 936, 972 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 375, 936, 972?
GCD of 375, 936, 972 is 3
2. Where do I get the detailed procedure to find GCD of 375, 936, 972?
You can find a detailed procedure to find GCD of 375, 936, 972 on our page.
3. How to find GCD of 375, 936, 972 on a calculator?
You can find the GCD of 375, 936, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.