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GCD of 708, 440, 696, 968 Calculator

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

GCD of numbers 708, 440, 696, 968 is 4

GCD(708, 440, 696, 968) = 4

Finding GCD of 708, 440, 696, 968 using Factoring

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

Finding GCD of 708, 440, 696, 968 using Prime Factorization

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

Finding GCD of 708, 440, 696, 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(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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 708, 440, 696, 968

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.