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 796, 744, 560 i.e. 4 largest integer that divides all the numbers equally.
GCD of 796, 744, 560 is 4
GCD(796, 744, 560) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 796, 744, 560 is 4
GCD(796, 744, 560) = 4
Given Input numbers are 796, 744, 560
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Greatest Common Divisior
We found the divisors of 796, 744, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 744, 560 is 4.
Therefore, GCD of numbers 796, 744, 560 is 4
Given Input Data is 796, 744, 560
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
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(796, 744) = 148056
GCD(796, 744) = ( 796 x 744 ) / 148056
GCD(796, 744) = 592224 / 148056
GCD(796, 744) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 560
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 560) = 560
GCD(4, 560) = ( 4 x 560 ) / 560
GCD(4, 560) = 2240 / 560
GCD(4, 560) = 4
GCD of 796, 744, 560 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 796, 744, 560?
GCD of 796, 744, 560 is 4
2. Where do I get the detailed procedure to find GCD of 796, 744, 560?
You can find a detailed procedure to find GCD of 796, 744, 560 on our page.
3. How to find GCD of 796, 744, 560 on a calculator?
You can find the GCD of 796, 744, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.