GCD of 242, 708, 236, 968 Calculator

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

GCD of numbers 242, 708, 236, 968 is 2

GCD(242, 708, 236, 968) = 2

GCD of 242,708,236,968 Calculator

GCDof 242,708,236,968 is 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

Finding GCD of 242, 708, 236, 968 using Prime Factorization

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

Finding GCD of 242, 708, 236, 968 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 242, 708, 236, 968

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.