GCD of 224, 169, 99, 808 Calculator

Given Input numbers are 224, 169, 99, 808

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 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 224, 169, 99, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 169, 99, 808 is 1.

Therefore, GCD of numbers 224, 169, 99, 808 is 1

Given Input Data is 224, 169, 99, 808

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 169 is 13 x 13

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 808 is 2 x 2 x 2 x 101

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(224, 169) = 37856

GCD(224, 169) = ( 224 x 169 ) / 37856

GCD(224, 169) = 37856 / 37856

GCD(224, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 224, 169, 99, 808 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 766, 999, 59, 857
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• GCD of 170, 400, 47, 279

1. What is the GCD of 224, 169, 99, 808?

GCD of 224, 169, 99, 808 is 1

2. Where do I get the detailed procedure to find GCD of 224, 169, 99, 808?

You can find a detailed procedure to find GCD of 224, 169, 99, 808 on our page.

3. How to find GCD of 224, 169, 99, 808 on a calculator?

You can find the GCD of 224, 169, 99, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.