GCD of 898, 268, 17, 225 Calculator

Given Input numbers are 898, 268, 17, 225

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 898, 268, 17, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 268, 17, 225 is 1.

Therefore, GCD of numbers 898, 268, 17, 225 is 1

Given Input Data is 898, 268, 17, 225

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 17 is 17

Prime Factorization of 225 is 3 x 3 x 5 x 5

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(898, 268) = 120332

GCD(898, 268) = ( 898 x 268 ) / 120332

GCD(898, 268) = 240664 / 120332

GCD(898, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 898, 268, 17, 225 is 1

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1. What is the GCD of 898, 268, 17, 225?

GCD of 898, 268, 17, 225 is 1

2. Where do I get the detailed procedure to find GCD of 898, 268, 17, 225?

You can find a detailed procedure to find GCD of 898, 268, 17, 225 on our page.

3. How to find GCD of 898, 268, 17, 225 on a calculator?

You can find the GCD of 898, 268, 17, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.