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 568, 104, 48, 568 i.e. 8 largest integer that divides all the numbers equally.
GCD of 568, 104, 48, 568 is 8
GCD(568, 104, 48, 568) = 8
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 568, 104, 48, 568 is 8
GCD(568, 104, 48, 568) = 8
Given Input numbers are 568, 104, 48, 568
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Greatest Common Divisior
We found the divisors of 568, 104, 48, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 568, 104, 48, 568 is 8.
Therefore, GCD of numbers 568, 104, 48, 568 is 8
Given Input Data is 568, 104, 48, 568
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 568 is 2 x 2 x 2 x 71
Highest common occurrences in the given inputs are 23
Multiplying them we get the GCD as 8
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(568, 104) = 7384
GCD(568, 104) = ( 568 x 104 ) / 7384
GCD(568, 104) = 59072 / 7384
GCD(568, 104) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 48) = 48
GCD(8, 48) = ( 8 x 48 ) / 48
GCD(8, 48) = 384 / 48
GCD(8, 48) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 568
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 568) = 568
GCD(8, 568) = ( 8 x 568 ) / 568
GCD(8, 568) = 4544 / 568
GCD(8, 568) = 8
GCD of 568, 104, 48, 568 is 8
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 568, 104, 48, 568?
GCD of 568, 104, 48, 568 is 8
2. Where do I get the detailed procedure to find GCD of 568, 104, 48, 568?
You can find a detailed procedure to find GCD of 568, 104, 48, 568 on our page.
3. How to find GCD of 568, 104, 48, 568 on a calculator?
You can find the GCD of 568, 104, 48, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.