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 708, 440, 696, 968 i.e. 4 largest integer that divides all the numbers equally.
GCD of 708, 440, 696, 968 is 4
GCD(708, 440, 696, 968) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 708, 440, 696, 968 is 4
GCD(708, 440, 696, 968) = 4
Given Input numbers are 708, 440, 696, 968
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Greatest Common Divisior
We found the divisors of 708, 440, 696, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 440, 696, 968 is 4.
Therefore, GCD of numbers 708, 440, 696, 968 is 4
Given Input Data is 708, 440, 696, 968
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
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(708, 440) = 77880
GCD(708, 440) = ( 708 x 440 ) / 77880
GCD(708, 440) = 311520 / 77880
GCD(708, 440) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 696) = 696
GCD(4, 696) = ( 4 x 696 ) / 696
GCD(4, 696) = 2784 / 696
GCD(4, 696) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 968) = 968
GCD(4, 968) = ( 4 x 968 ) / 968
GCD(4, 968) = 3872 / 968
GCD(4, 968) = 4
GCD of 708, 440, 696, 968 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 708, 440, 696, 968?
GCD of 708, 440, 696, 968 is 4
2. Where do I get the detailed procedure to find GCD of 708, 440, 696, 968?
You can find a detailed procedure to find GCD of 708, 440, 696, 968 on our page.
3. How to find GCD of 708, 440, 696, 968 on a calculator?
You can find the GCD of 708, 440, 696, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.