GCD of 225, 817, 17, 294 Calculator

Given Input numbers are 225, 817, 17, 294

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

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

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 17

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

1, 17

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 225, 817, 17, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 817, 17, 294 is 1.

Therefore, GCD of numbers 225, 817, 17, 294 is 1

Given Input Data is 225, 817, 17, 294

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

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

Prime Factorization of 817 is 19 x 43

Prime Factorization of 17 is 17

Prime Factorization of 294 is 2 x 3 x 7 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(225, 817) = 183825

GCD(225, 817) = ( 225 x 817 ) / 183825

GCD(225, 817) = 183825 / 183825

GCD(225, 817) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 225, 817, 17, 294 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 599, 11, 493
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• GCD of 728, 115, 78, 460
• GCD of 734, 195, 51, 602
• GCD of 934, 344, 75, 603

1. What is the GCD of 225, 817, 17, 294?

GCD of 225, 817, 17, 294 is 1

2. Where do I get the detailed procedure to find GCD of 225, 817, 17, 294?

You can find a detailed procedure to find GCD of 225, 817, 17, 294 on our page.

3. How to find GCD of 225, 817, 17, 294 on a calculator?

You can find the GCD of 225, 817, 17, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.