GCD of 459, 442, 291, 680 Calculator

Given Input numbers are 459, 442, 291, 680

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 459, 442, 291, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 442, 291, 680 is 1.

Therefore, GCD of numbers 459, 442, 291, 680 is 1

Given Input Data is 459, 442, 291, 680

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 442 is 2 x 13 x 17

Prime Factorization of 291 is 3 x 97

Prime Factorization of 680 is 2 x 2 x 2 x 5 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(459, 442) = 11934

GCD(459, 442) = ( 459 x 442 ) / 11934

GCD(459, 442) = 202878 / 11934

GCD(459, 442) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 291

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

LCM(17, 291) = 4947

GCD(17, 291) = ( 17 x 291 ) / 4947

GCD(17, 291) = 4947 / 4947

GCD(17, 291) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 459, 442, 291, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 708, 585, 547
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• GCD of 538, 505, 679, 712

1. What is the GCD of 459, 442, 291, 680?

GCD of 459, 442, 291, 680 is 1

2. Where do I get the detailed procedure to find GCD of 459, 442, 291, 680?

You can find a detailed procedure to find GCD of 459, 442, 291, 680 on our page.

3. How to find GCD of 459, 442, 291, 680 on a calculator?

You can find the GCD of 459, 442, 291, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.