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 924, 908, 712 i.e. 4 largest integer that divides all the numbers equally.
GCD of 924, 908, 712 is 4
GCD(924, 908, 712) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 908, 712 is 4
GCD(924, 908, 712) = 4
Given Input numbers are 924, 908, 712
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Greatest Common Divisior
We found the divisors of 924, 908, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 908, 712 is 4.
Therefore, GCD of numbers 924, 908, 712 is 4
Given Input Data is 924, 908, 712
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 712 is 2 x 2 x 2 x 89
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(924, 908) = 209748
GCD(924, 908) = ( 924 x 908 ) / 209748
GCD(924, 908) = 838992 / 209748
GCD(924, 908) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 712) = 712
GCD(4, 712) = ( 4 x 712 ) / 712
GCD(4, 712) = 2848 / 712
GCD(4, 712) = 4
GCD of 924, 908, 712 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 908, 712?
GCD of 924, 908, 712 is 4
2. Where do I get the detailed procedure to find GCD of 924, 908, 712?
You can find a detailed procedure to find GCD of 924, 908, 712 on our page.
3. How to find GCD of 924, 908, 712 on a calculator?
You can find the GCD of 924, 908, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.