GCD of 638, 878, 96 Calculator

Given Input numbers are 638, 878, 96

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Greatest Common Divisior

We found the divisors of 638, 878, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 878, 96 is 2.

Therefore, GCD of numbers 638, 878, 96 is 2

Given Input Data is 638, 878, 96

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 878 is 2 x 439

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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(638, 878) = 280082

GCD(638, 878) = ( 638 x 878 ) / 280082

GCD(638, 878) = 560164 / 280082

GCD(638, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

GCD of 638, 878, 96 is 2

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1. What is the GCD of 638, 878, 96?

GCD of 638, 878, 96 is 2

2. Where do I get the detailed procedure to find GCD of 638, 878, 96?

You can find a detailed procedure to find GCD of 638, 878, 96 on our page.

3. How to find GCD of 638, 878, 96 on a calculator?

You can find the GCD of 638, 878, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.