GCD of 683, 225, 23, 298 Calculator

Given Input numbers are 683, 225, 23, 298

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

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

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 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 683, 225, 23, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 683, 225, 23, 298 is 1.

Therefore, GCD of numbers 683, 225, 23, 298 is 1

Given Input Data is 683, 225, 23, 298

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

Prime Factorization of 683 is 683

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

Prime Factorization of 23 is 23

Prime Factorization of 298 is 2 x 149

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(683, 225) = 153675

GCD(683, 225) = ( 683 x 225 ) / 153675

GCD(683, 225) = 153675 / 153675

GCD(683, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 683, 225, 23, 298 is 1

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1. What is the GCD of 683, 225, 23, 298?

GCD of 683, 225, 23, 298 is 1

2. Where do I get the detailed procedure to find GCD of 683, 225, 23, 298?

You can find a detailed procedure to find GCD of 683, 225, 23, 298 on our page.

3. How to find GCD of 683, 225, 23, 298 on a calculator?

You can find the GCD of 683, 225, 23, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.