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 968, 576, 882, 108 i.e. 2 largest integer that divides all the numbers equally.
GCD of 968, 576, 882, 108 is 2
GCD(968, 576, 882, 108) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 968, 576, 882, 108 is 2
GCD(968, 576, 882, 108) = 2
Given Input numbers are 968, 576, 882, 108
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Greatest Common Divisior
We found the divisors of 968, 576, 882, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 576, 882, 108 is 2.
Therefore, GCD of numbers 968, 576, 882, 108 is 2
Given Input Data is 968, 576, 882, 108
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
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(968, 576) = 69696
GCD(968, 576) = ( 968 x 576 ) / 69696
GCD(968, 576) = 557568 / 69696
GCD(968, 576) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 882
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 882) = 3528
GCD(8, 882) = ( 8 x 882 ) / 3528
GCD(8, 882) = 7056 / 3528
GCD(8, 882) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 108
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 108) = 108
GCD(2, 108) = ( 2 x 108 ) / 108
GCD(2, 108) = 216 / 108
GCD(2, 108) = 2
GCD of 968, 576, 882, 108 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 968, 576, 882, 108?
GCD of 968, 576, 882, 108 is 2
2. Where do I get the detailed procedure to find GCD of 968, 576, 882, 108?
You can find a detailed procedure to find GCD of 968, 576, 882, 108 on our page.
3. How to find GCD of 968, 576, 882, 108 on a calculator?
You can find the GCD of 968, 576, 882, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.