GCD of 460, 803, 909, 289 Calculator

Given Input numbers are 460, 803, 909, 289

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

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 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 460, 803, 909, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 803, 909, 289 is 1.

Therefore, GCD of numbers 460, 803, 909, 289 is 1

Given Input Data is 460, 803, 909, 289

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

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

Prime Factorization of 803 is 11 x 73

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 289 is 17 x 17

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(460, 803) = 369380

GCD(460, 803) = ( 460 x 803 ) / 369380

GCD(460, 803) = 369380 / 369380

GCD(460, 803) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 460, 803, 909, 289 is 1

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1. What is the GCD of 460, 803, 909, 289?

GCD of 460, 803, 909, 289 is 1

2. Where do I get the detailed procedure to find GCD of 460, 803, 909, 289?

You can find a detailed procedure to find GCD of 460, 803, 909, 289 on our page.

3. How to find GCD of 460, 803, 909, 289 on a calculator?

You can find the GCD of 460, 803, 909, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.