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 4, 76, 96 i.e. 4 largest integer that divides all the numbers equally.
GCD of 4, 76, 96 is 4
GCD(4, 76, 96) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 4, 76, 96 is 4
GCD(4, 76, 96) = 4
Given Input numbers are 4, 76, 96
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 4
List of positive integer divisors of 4 that divides 4 without a remainder.
1, 2, 4
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Greatest Common Divisior
We found the divisors of 4, 76, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 4, 76, 96 is 4.
Therefore, GCD of numbers 4, 76, 96 is 4
Given Input Data is 4, 76, 96
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 4 is 2 x 2
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
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(4, 76) = 76
GCD(4, 76) = ( 4 x 76 ) / 76
GCD(4, 76) = 304 / 76
GCD(4, 76) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 96) = 96
GCD(4, 96) = ( 4 x 96 ) / 96
GCD(4, 96) = 384 / 96
GCD(4, 96) = 4
GCD of 4, 76, 96 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 4, 76, 96?
GCD of 4, 76, 96 is 4
2. Where do I get the detailed procedure to find GCD of 4, 76, 96?
You can find a detailed procedure to find GCD of 4, 76, 96 on our page.
3. How to find GCD of 4, 76, 96 on a calculator?
You can find the GCD of 4, 76, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.