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 728, 260, 182, 778 i.e. 2 largest integer that divides all the numbers equally.
GCD of 728, 260, 182, 778 is 2
GCD(728, 260, 182, 778) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 728, 260, 182, 778 is 2
GCD(728, 260, 182, 778) = 2
Given Input numbers are 728, 260, 182, 778
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 728, 260, 182, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 260, 182, 778 is 2.
Therefore, GCD of numbers 728, 260, 182, 778 is 2
Given Input Data is 728, 260, 182, 778
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 778 is 2 x 389
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(728, 260) = 3640
GCD(728, 260) = ( 728 x 260 ) / 3640
GCD(728, 260) = 189280 / 3640
GCD(728, 260) = 52
Step2:
Here we consider the GCD from the above i.e. 52 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(52, 182) = 364
GCD(52, 182) = ( 52 x 182 ) / 364
GCD(52, 182) = 9464 / 364
GCD(52, 182) = 26
Step3:
Here we consider the GCD from the above i.e. 26 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(26, 778) = 10114
GCD(26, 778) = ( 26 x 778 ) / 10114
GCD(26, 778) = 20228 / 10114
GCD(26, 778) = 2
GCD of 728, 260, 182, 778 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 728, 260, 182, 778?
GCD of 728, 260, 182, 778 is 2
2. Where do I get the detailed procedure to find GCD of 728, 260, 182, 778?
You can find a detailed procedure to find GCD of 728, 260, 182, 778 on our page.
3. How to find GCD of 728, 260, 182, 778 on a calculator?
You can find the GCD of 728, 260, 182, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.