GCD of 459, 686, 20, 580 Calculator

Given Input numbers are 459, 686, 20, 580

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 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 459, 686, 20, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 686, 20, 580 is 1.

Therefore, GCD of numbers 459, 686, 20, 580 is 1

Given Input Data is 459, 686, 20, 580

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 686 is 2 x 7 x 7 x 7

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 580 is 2 x 2 x 5 x 29

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, 686) = 314874

GCD(459, 686) = ( 459 x 686 ) / 314874

GCD(459, 686) = 314874 / 314874

GCD(459, 686) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 459, 686, 20, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 357, 35, 954
• GCD of 275, 117, 89, 935
• GCD of 471, 344, 78, 172
• GCD of 888, 581, 11, 198
• GCD of 617, 684, 17, 986

1. What is the GCD of 459, 686, 20, 580?

GCD of 459, 686, 20, 580 is 1

2. Where do I get the detailed procedure to find GCD of 459, 686, 20, 580?

You can find a detailed procedure to find GCD of 459, 686, 20, 580 on our page.

3. How to find GCD of 459, 686, 20, 580 on a calculator?

You can find the GCD of 459, 686, 20, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.