GCD of 898, 713, 460, 304 Calculator

Given Input numbers are 898, 713, 460, 304

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 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 898, 713, 460, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 713, 460, 304 is 1.

Therefore, GCD of numbers 898, 713, 460, 304 is 1

Given Input Data is 898, 713, 460, 304

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 713 is 23 x 31

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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, 713) = 640274

GCD(898, 713) = ( 898 x 713 ) / 640274

GCD(898, 713) = 640274 / 640274

GCD(898, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 898, 713, 460, 304 is 1

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1. What is the GCD of 898, 713, 460, 304?

GCD of 898, 713, 460, 304 is 1

2. Where do I get the detailed procedure to find GCD of 898, 713, 460, 304?

You can find a detailed procedure to find GCD of 898, 713, 460, 304 on our page.

3. How to find GCD of 898, 713, 460, 304 on a calculator?

You can find the GCD of 898, 713, 460, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.