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 288, 652, 372 i.e. 4 largest integer that divides all the numbers equally.
GCD of 288, 652, 372 is 4
GCD(288, 652, 372) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 288, 652, 372 is 4
GCD(288, 652, 372) = 4
Given Input numbers are 288, 652, 372
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 288, 652, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 652, 372 is 4.
Therefore, GCD of numbers 288, 652, 372 is 4
Given Input Data is 288, 652, 372
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 372 is 2 x 2 x 3 x 31
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(288, 652) = 46944
GCD(288, 652) = ( 288 x 652 ) / 46944
GCD(288, 652) = 187776 / 46944
GCD(288, 652) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 372) = 372
GCD(4, 372) = ( 4 x 372 ) / 372
GCD(4, 372) = 1488 / 372
GCD(4, 372) = 4
GCD of 288, 652, 372 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 288, 652, 372?
GCD of 288, 652, 372 is 4
2. Where do I get the detailed procedure to find GCD of 288, 652, 372?
You can find a detailed procedure to find GCD of 288, 652, 372 on our page.
3. How to find GCD of 288, 652, 372 on a calculator?
You can find the GCD of 288, 652, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.