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 248, 676, 968 i.e. 4 largest integer that divides all the numbers equally.
GCD of 248, 676, 968 is 4
GCD(248, 676, 968) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 248, 676, 968 is 4
GCD(248, 676, 968) = 4
Given Input numbers are 248, 676, 968
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
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 248, 676, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 676, 968 is 4.
Therefore, GCD of numbers 248, 676, 968 is 4
Given Input Data is 248, 676, 968
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 676 is 2 x 2 x 13 x 13
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(248, 676) = 41912
GCD(248, 676) = ( 248 x 676 ) / 41912
GCD(248, 676) = 167648 / 41912
GCD(248, 676) = 4
Step2:
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 248, 676, 968 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 248, 676, 968?
GCD of 248, 676, 968 is 4
2. Where do I get the detailed procedure to find GCD of 248, 676, 968?
You can find a detailed procedure to find GCD of 248, 676, 968 on our page.
3. How to find GCD of 248, 676, 968 on a calculator?
You can find the GCD of 248, 676, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.