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 322, 484, 616 i.e. 2 largest integer that divides all the numbers equally.
GCD of 322, 484, 616 is 2
GCD(322, 484, 616) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 484, 616 is 2
GCD(322, 484, 616) = 2
Given Input numbers are 322, 484, 616
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Greatest Common Divisior
We found the divisors of 322, 484, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 484, 616 is 2.
Therefore, GCD of numbers 322, 484, 616 is 2
Given Input Data is 322, 484, 616
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
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(322, 484) = 77924
GCD(322, 484) = ( 322 x 484 ) / 77924
GCD(322, 484) = 155848 / 77924
GCD(322, 484) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 616) = 616
GCD(2, 616) = ( 2 x 616 ) / 616
GCD(2, 616) = 1232 / 616
GCD(2, 616) = 2
GCD of 322, 484, 616 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 484, 616?
GCD of 322, 484, 616 is 2
2. Where do I get the detailed procedure to find GCD of 322, 484, 616?
You can find a detailed procedure to find GCD of 322, 484, 616 on our page.
3. How to find GCD of 322, 484, 616 on a calculator?
You can find the GCD of 322, 484, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.