GCD of 424, 788, 968 Calculator

Given Input numbers are 424, 788, 968

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

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 424, 788, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 788, 968 is 4.

Therefore, GCD of numbers 424, 788, 968 is 4

Given Input Data is 424, 788, 968

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 788 is 2 x 2 x 197

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(424, 788) = 83528

GCD(424, 788) = ( 424 x 788 ) / 83528

GCD(424, 788) = 334112 / 83528

GCD(424, 788) = 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 424, 788, 968 is 4

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1. What is the GCD of 424, 788, 968?

GCD of 424, 788, 968 is 4

2. Where do I get the detailed procedure to find GCD of 424, 788, 968?

You can find a detailed procedure to find GCD of 424, 788, 968 on our page.

3. How to find GCD of 424, 788, 968 on a calculator?

You can find the GCD of 424, 788, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.