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, 944, 78, 688 i.e. 2 largest integer that divides all the numbers equally.
GCD of 568, 944, 78, 688 is 2
GCD(568, 944, 78, 688) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 568, 944, 78, 688 is 2
GCD(568, 944, 78, 688) = 2
Given Input numbers are 568, 944, 78, 688
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 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Greatest Common Divisior
We found the divisors of 568, 944, 78, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 568, 944, 78, 688 is 2.
Therefore, GCD of numbers 568, 944, 78, 688 is 2
Given Input Data is 568, 944, 78, 688
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 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
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(568, 944) = 67024
GCD(568, 944) = ( 568 x 944 ) / 67024
GCD(568, 944) = 536192 / 67024
GCD(568, 944) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 78) = 312
GCD(8, 78) = ( 8 x 78 ) / 312
GCD(8, 78) = 624 / 312
GCD(8, 78) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 688) = 688
GCD(2, 688) = ( 2 x 688 ) / 688
GCD(2, 688) = 1376 / 688
GCD(2, 688) = 2
GCD of 568, 944, 78, 688 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 568, 944, 78, 688?
GCD of 568, 944, 78, 688 is 2
2. Where do I get the detailed procedure to find GCD of 568, 944, 78, 688?
You can find a detailed procedure to find GCD of 568, 944, 78, 688 on our page.
3. How to find GCD of 568, 944, 78, 688 on a calculator?
You can find the GCD of 568, 944, 78, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.