GCD of 445, 318, 499, 872 Calculator

Given Input numbers are 445, 318, 499, 872

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

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 445, 318, 499, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 318, 499, 872 is 1.

Therefore, GCD of numbers 445, 318, 499, 872 is 1

Given Input Data is 445, 318, 499, 872

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

Prime Factorization of 445 is 5 x 89

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 499 is 499

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(445, 318) = 141510

GCD(445, 318) = ( 445 x 318 ) / 141510

GCD(445, 318) = 141510 / 141510

GCD(445, 318) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 445, 318, 499, 872 is 1

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1. What is the GCD of 445, 318, 499, 872?

GCD of 445, 318, 499, 872 is 1

2. Where do I get the detailed procedure to find GCD of 445, 318, 499, 872?

You can find a detailed procedure to find GCD of 445, 318, 499, 872 on our page.

3. How to find GCD of 445, 318, 499, 872 on a calculator?

You can find the GCD of 445, 318, 499, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.