GCD of 896, 916, 111, 224 Calculator

Given Input numbers are 896, 916, 111, 224

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

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

Greatest Common Divisior

We found the divisors of 896, 916, 111, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 916, 111, 224 is 1.

Therefore, GCD of numbers 896, 916, 111, 224 is 1

Given Input Data is 896, 916, 111, 224

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 916 is 2 x 2 x 229

Prime Factorization of 111 is 3 x 37

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

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, 916) = 205184

GCD(896, 916) = ( 896 x 916 ) / 205184

GCD(896, 916) = 820736 / 205184

GCD(896, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 111

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

LCM(4, 111) = 444

GCD(4, 111) = ( 4 x 111 ) / 444

GCD(4, 111) = 444 / 444

GCD(4, 111) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 896, 916, 111, 224 is 1

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• GCD of 218, 197, 244, 459
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• GCD of 513, 396, 634, 220

1. What is the GCD of 896, 916, 111, 224?

GCD of 896, 916, 111, 224 is 1

2. Where do I get the detailed procedure to find GCD of 896, 916, 111, 224?

You can find a detailed procedure to find GCD of 896, 916, 111, 224 on our page.

3. How to find GCD of 896, 916, 111, 224 on a calculator?

You can find the GCD of 896, 916, 111, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.