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 244, 800, 772 i.e. 4 largest integer that divides all the numbers equally.
GCD of 244, 800, 772 is 4
GCD(244, 800, 772) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 244, 800, 772 is 4
GCD(244, 800, 772) = 4
Given Input numbers are 244, 800, 772
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 244
List of positive integer divisors of 244 that divides 244 without a remainder.
1, 2, 4, 61, 122, 244
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 244, 800, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 244, 800, 772 is 4.
Therefore, GCD of numbers 244, 800, 772 is 4
Given Input Data is 244, 800, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 244 is 2 x 2 x 61
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 772 is 2 x 2 x 193
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(244, 800) = 48800
GCD(244, 800) = ( 244 x 800 ) / 48800
GCD(244, 800) = 195200 / 48800
GCD(244, 800) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 772) = 772
GCD(4, 772) = ( 4 x 772 ) / 772
GCD(4, 772) = 3088 / 772
GCD(4, 772) = 4
GCD of 244, 800, 772 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 244, 800, 772?
GCD of 244, 800, 772 is 4
2. Where do I get the detailed procedure to find GCD of 244, 800, 772?
You can find a detailed procedure to find GCD of 244, 800, 772 on our page.
3. How to find GCD of 244, 800, 772 on a calculator?
You can find the GCD of 244, 800, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.