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 96, 442, 124, 884 i.e. 2 largest integer that divides all the numbers equally.
GCD of 96, 442, 124, 884 is 2
GCD(96, 442, 124, 884) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 96, 442, 124, 884 is 2
GCD(96, 442, 124, 884) = 2
Given Input numbers are 96, 442, 124, 884
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Greatest Common Divisior
We found the divisors of 96, 442, 124, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 442, 124, 884 is 2.
Therefore, GCD of numbers 96, 442, 124, 884 is 2
Given Input Data is 96, 442, 124, 884
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 884 is 2 x 2 x 13 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(96, 442) = 21216
GCD(96, 442) = ( 96 x 442 ) / 21216
GCD(96, 442) = 42432 / 21216
GCD(96, 442) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 124) = 124
GCD(2, 124) = ( 2 x 124 ) / 124
GCD(2, 124) = 248 / 124
GCD(2, 124) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 884
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 884) = 884
GCD(2, 884) = ( 2 x 884 ) / 884
GCD(2, 884) = 1768 / 884
GCD(2, 884) = 2
GCD of 96, 442, 124, 884 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 96, 442, 124, 884?
GCD of 96, 442, 124, 884 is 2
2. Where do I get the detailed procedure to find GCD of 96, 442, 124, 884?
You can find a detailed procedure to find GCD of 96, 442, 124, 884 on our page.
3. How to find GCD of 96, 442, 124, 884 on a calculator?
You can find the GCD of 96, 442, 124, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.