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, 448, 982, 734 i.e. 2 largest integer that divides all the numbers equally.
GCD of 728, 448, 982, 734 is 2
GCD(728, 448, 982, 734) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 728, 448, 982, 734 is 2
GCD(728, 448, 982, 734) = 2
Given Input numbers are 728, 448, 982, 734
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 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Greatest Common Divisior
We found the divisors of 728, 448, 982, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 448, 982, 734 is 2.
Therefore, GCD of numbers 728, 448, 982, 734 is 2
Given Input Data is 728, 448, 982, 734
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 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 982 is 2 x 491
Prime Factorization of 734 is 2 x 367
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, 448) = 5824
GCD(728, 448) = ( 728 x 448 ) / 5824
GCD(728, 448) = 326144 / 5824
GCD(728, 448) = 56
Step2:
Here we consider the GCD from the above i.e. 56 as first number and the next as 982
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(56, 982) = 27496
GCD(56, 982) = ( 56 x 982 ) / 27496
GCD(56, 982) = 54992 / 27496
GCD(56, 982) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 734) = 734
GCD(2, 734) = ( 2 x 734 ) / 734
GCD(2, 734) = 1468 / 734
GCD(2, 734) = 2
GCD of 728, 448, 982, 734 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 728, 448, 982, 734?
GCD of 728, 448, 982, 734 is 2
2. Where do I get the detailed procedure to find GCD of 728, 448, 982, 734?
You can find a detailed procedure to find GCD of 728, 448, 982, 734 on our page.
3. How to find GCD of 728, 448, 982, 734 on a calculator?
You can find the GCD of 728, 448, 982, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.