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 488, 456, 96, 322 i.e. 2 largest integer that divides all the numbers equally.
GCD of 488, 456, 96, 322 is 2
GCD(488, 456, 96, 322) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 488, 456, 96, 322 is 2
GCD(488, 456, 96, 322) = 2
Given Input numbers are 488, 456, 96, 322
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
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 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Greatest Common Divisior
We found the divisors of 488, 456, 96, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 456, 96, 322 is 2.
Therefore, GCD of numbers 488, 456, 96, 322 is 2
Given Input Data is 488, 456, 96, 322
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 322 is 2 x 7 x 23
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(488, 456) = 27816
GCD(488, 456) = ( 488 x 456 ) / 27816
GCD(488, 456) = 222528 / 27816
GCD(488, 456) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 96) = 96
GCD(8, 96) = ( 8 x 96 ) / 96
GCD(8, 96) = 768 / 96
GCD(8, 96) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 322) = 1288
GCD(8, 322) = ( 8 x 322 ) / 1288
GCD(8, 322) = 2576 / 1288
GCD(8, 322) = 2
GCD of 488, 456, 96, 322 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 488, 456, 96, 322?
GCD of 488, 456, 96, 322 is 2
2. Where do I get the detailed procedure to find GCD of 488, 456, 96, 322?
You can find a detailed procedure to find GCD of 488, 456, 96, 322 on our page.
3. How to find GCD of 488, 456, 96, 322 on a calculator?
You can find the GCD of 488, 456, 96, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.