GCD of 320, 498, 79, 459 Calculator

Given Input numbers are 320, 498, 79, 459

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 459

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

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

Greatest Common Divisior

We found the divisors of 320, 498, 79, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 498, 79, 459 is 1.

Therefore, GCD of numbers 320, 498, 79, 459 is 1

Given Input Data is 320, 498, 79, 459

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 79 is 79

Prime Factorization of 459 is 3 x 3 x 3 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(320, 498) = 79680

GCD(320, 498) = ( 320 x 498 ) / 79680

GCD(320, 498) = 159360 / 79680

GCD(320, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 79

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

LCM(2, 79) = 158

GCD(2, 79) = ( 2 x 79 ) / 158

GCD(2, 79) = 158 / 158

GCD(2, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 320, 498, 79, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 687, 26, 813
• GCD of 944, 598, 91, 598
• GCD of 439, 330, 75, 837
• GCD of 388, 326, 96, 451
• GCD of 196, 990, 78, 596

1. What is the GCD of 320, 498, 79, 459?

GCD of 320, 498, 79, 459 is 1

2. Where do I get the detailed procedure to find GCD of 320, 498, 79, 459?

You can find a detailed procedure to find GCD of 320, 498, 79, 459 on our page.

3. How to find GCD of 320, 498, 79, 459 on a calculator?

You can find the GCD of 320, 498, 79, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.