GCD of 459, 361, 53, 803 Calculator

Given Input numbers are 459, 361, 53, 803

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 803

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

1, 11, 73, 803

Greatest Common Divisior

We found the divisors of 459, 361, 53, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 361, 53, 803 is 1.

Therefore, GCD of numbers 459, 361, 53, 803 is 1

Given Input Data is 459, 361, 53, 803

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 361 is 19 x 19

Prime Factorization of 53 is 53

Prime Factorization of 803 is 11 x 73

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(459, 361) = 165699

GCD(459, 361) = ( 459 x 361 ) / 165699

GCD(459, 361) = 165699 / 165699

GCD(459, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 803

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

LCM(1, 803) = 803

GCD(1, 803) = ( 1 x 803 ) / 803

GCD(1, 803) = 803 / 803

GCD(1, 803) = 1

GCD of 459, 361, 53, 803 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 236, 97, 229
• GCD of 802, 876, 72, 672
• GCD of 805, 311, 75, 960
• GCD of 643, 460, 85, 818
• GCD of 252, 350, 89, 868

1. What is the GCD of 459, 361, 53, 803?

GCD of 459, 361, 53, 803 is 1

2. Where do I get the detailed procedure to find GCD of 459, 361, 53, 803?

You can find a detailed procedure to find GCD of 459, 361, 53, 803 on our page.

3. How to find GCD of 459, 361, 53, 803 on a calculator?

You can find the GCD of 459, 361, 53, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.