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 242, 708, 236, 968 i.e. 2 largest integer that divides all the numbers equally.
GCD of 242, 708, 236, 968 is 2
GCD(242, 708, 236, 968) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 242, 708, 236, 968 is 2
GCD(242, 708, 236, 968) = 2
Given Input numbers are 242, 708, 236, 968
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
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 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
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 242, 708, 236, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 708, 236, 968 is 2.
Therefore, GCD of numbers 242, 708, 236, 968 is 2
Given Input Data is 242, 708, 236, 968
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
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(242, 708) = 85668
GCD(242, 708) = ( 242 x 708 ) / 85668
GCD(242, 708) = 171336 / 85668
GCD(242, 708) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 236) = 236
GCD(2, 236) = ( 2 x 236 ) / 236
GCD(2, 236) = 472 / 236
GCD(2, 236) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 968) = 968
GCD(2, 968) = ( 2 x 968 ) / 968
GCD(2, 968) = 1936 / 968
GCD(2, 968) = 2
GCD of 242, 708, 236, 968 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 242, 708, 236, 968?
GCD of 242, 708, 236, 968 is 2
2. Where do I get the detailed procedure to find GCD of 242, 708, 236, 968?
You can find a detailed procedure to find GCD of 242, 708, 236, 968 on our page.
3. How to find GCD of 242, 708, 236, 968 on a calculator?
You can find the GCD of 242, 708, 236, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.