GCD of 320, 459, 83, 279 Calculator

Given Input numbers are 320, 459, 83, 279

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 459

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

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 320, 459, 83, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 459, 83, 279 is 1.

Therefore, GCD of numbers 320, 459, 83, 279 is 1

Given Input Data is 320, 459, 83, 279

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 459 is 3 x 3 x 3 x 17

Prime Factorization of 83 is 83

Prime Factorization of 279 is 3 x 3 x 31

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, 459) = 146880

GCD(320, 459) = ( 320 x 459 ) / 146880

GCD(320, 459) = 146880 / 146880

GCD(320, 459) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 320, 459, 83, 279 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 911, 18, 421
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1. What is the GCD of 320, 459, 83, 279?

GCD of 320, 459, 83, 279 is 1

2. Where do I get the detailed procedure to find GCD of 320, 459, 83, 279?

You can find a detailed procedure to find GCD of 320, 459, 83, 279 on our page.

3. How to find GCD of 320, 459, 83, 279 on a calculator?

You can find the GCD of 320, 459, 83, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.