GCD of 224, 500, 16 Calculator

Given Input numbers are 224, 500, 16

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 224, 500, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 500, 16 is 4.

Therefore, GCD of numbers 224, 500, 16 is 4

Given Input Data is 224, 500, 16

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

Prime Factorization of 224 is 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 16 is 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(224, 500) = 28000

GCD(224, 500) = ( 224 x 500 ) / 28000

GCD(224, 500) = 112000 / 28000

GCD(224, 500) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 16

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

LCM(4, 16) = 16

GCD(4, 16) = ( 4 x 16 ) / 16

GCD(4, 16) = 64 / 16

GCD(4, 16) = 4

GCD of 224, 500, 16 is 4

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1. What is the GCD of 224, 500, 16?

GCD of 224, 500, 16 is 4

2. Where do I get the detailed procedure to find GCD of 224, 500, 16?

You can find a detailed procedure to find GCD of 224, 500, 16 on our page.

3. How to find GCD of 224, 500, 16 on a calculator?

You can find the GCD of 224, 500, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.