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 484, 644, 798 i.e. 2 largest integer that divides all the numbers equally.
GCD of 484, 644, 798 is 2
GCD(484, 644, 798) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 484, 644, 798 is 2
GCD(484, 644, 798) = 2
Given Input numbers are 484, 644, 798
To find the GCD of numbers using factoring list out all the divisors of each number
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 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Greatest Common Divisior
We found the divisors of 484, 644, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 644, 798 is 2.
Therefore, GCD of numbers 484, 644, 798 is 2
Given Input Data is 484, 644, 798
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 798 is 2 x 3 x 7 x 19
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(484, 644) = 77924
GCD(484, 644) = ( 484 x 644 ) / 77924
GCD(484, 644) = 311696 / 77924
GCD(484, 644) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 798) = 1596
GCD(4, 798) = ( 4 x 798 ) / 1596
GCD(4, 798) = 3192 / 1596
GCD(4, 798) = 2
GCD of 484, 644, 798 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 484, 644, 798?
GCD of 484, 644, 798 is 2
2. Where do I get the detailed procedure to find GCD of 484, 644, 798?
You can find a detailed procedure to find GCD of 484, 644, 798 on our page.
3. How to find GCD of 484, 644, 798 on a calculator?
You can find the GCD of 484, 644, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.