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 912, 524, 240 i.e. 4 largest integer that divides all the numbers equally.
GCD of 912, 524, 240 is 4
GCD(912, 524, 240) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 912, 524, 240 is 4
GCD(912, 524, 240) = 4
Given Input numbers are 912, 524, 240
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Greatest Common Divisior
We found the divisors of 912, 524, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 524, 240 is 4.
Therefore, GCD of numbers 912, 524, 240 is 4
Given Input Data is 912, 524, 240
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
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(912, 524) = 119472
GCD(912, 524) = ( 912 x 524 ) / 119472
GCD(912, 524) = 477888 / 119472
GCD(912, 524) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 240) = 240
GCD(4, 240) = ( 4 x 240 ) / 240
GCD(4, 240) = 960 / 240
GCD(4, 240) = 4
GCD of 912, 524, 240 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 912, 524, 240?
GCD of 912, 524, 240 is 4
2. Where do I get the detailed procedure to find GCD of 912, 524, 240?
You can find a detailed procedure to find GCD of 912, 524, 240 on our page.
3. How to find GCD of 912, 524, 240 on a calculator?
You can find the GCD of 912, 524, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.