GCD of 868, 100, 128 Calculator

Given Input numbers are 868, 100, 128

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 868, 100, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 100, 128 is 4.

Therefore, GCD of numbers 868, 100, 128 is 4

Given Input Data is 868, 100, 128

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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(868, 100) = 21700

GCD(868, 100) = ( 868 x 100 ) / 21700

GCD(868, 100) = 86800 / 21700

GCD(868, 100) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 128

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

LCM(4, 128) = 128

GCD(4, 128) = ( 4 x 128 ) / 128

GCD(4, 128) = 512 / 128

GCD(4, 128) = 4

GCD of 868, 100, 128 is 4

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1. What is the GCD of 868, 100, 128?

GCD of 868, 100, 128 is 4

2. Where do I get the detailed procedure to find GCD of 868, 100, 128?

You can find a detailed procedure to find GCD of 868, 100, 128 on our page.

3. How to find GCD of 868, 100, 128 on a calculator?

You can find the GCD of 868, 100, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.