GCD of 896, 500, 84, 128 Calculator

Given Input numbers are 896, 500, 84, 128

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 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 896, 500, 84, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 500, 84, 128 is 4.

Therefore, GCD of numbers 896, 500, 84, 128 is 4

Given Input Data is 896, 500, 84, 128

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 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 84 is 2 x 2 x 3 x 7

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(896, 500) = 112000

GCD(896, 500) = ( 896 x 500 ) / 112000

GCD(896, 500) = 448000 / 112000

GCD(896, 500) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 84

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

LCM(4, 84) = 84

GCD(4, 84) = ( 4 x 84 ) / 84

GCD(4, 84) = 336 / 84

GCD(4, 84) = 4

Step3:

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 896, 500, 84, 128 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 811, 87, 753
• GCD of 498, 728, 30, 428
• GCD of 183, 148, 42, 596
• GCD of 725, 815, 36, 409
• GCD of 990, 710, 49, 539

1. What is the GCD of 896, 500, 84, 128?

GCD of 896, 500, 84, 128 is 4

2. Where do I get the detailed procedure to find GCD of 896, 500, 84, 128?

You can find a detailed procedure to find GCD of 896, 500, 84, 128 on our page.

3. How to find GCD of 896, 500, 84, 128 on a calculator?

You can find the GCD of 896, 500, 84, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.