GCD of 896, 428, 638 Calculator

Given Input numbers are 896, 428, 638

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 638

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

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

Greatest Common Divisior

We found the divisors of 896, 428, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 428, 638 is 2.

Therefore, GCD of numbers 896, 428, 638 is 2

Given Input Data is 896, 428, 638

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 638 is 2 x 11 x 29

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(896, 428) = 95872

GCD(896, 428) = ( 896 x 428 ) / 95872

GCD(896, 428) = 383488 / 95872

GCD(896, 428) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 638

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

LCM(4, 638) = 1276

GCD(4, 638) = ( 4 x 638 ) / 1276

GCD(4, 638) = 2552 / 1276

GCD(4, 638) = 2

GCD of 896, 428, 638 is 2

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1. What is the GCD of 896, 428, 638?

GCD of 896, 428, 638 is 2

2. Where do I get the detailed procedure to find GCD of 896, 428, 638?

You can find a detailed procedure to find GCD of 896, 428, 638 on our page.

3. How to find GCD of 896, 428, 638 on a calculator?

You can find the GCD of 896, 428, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.