GCD of 438, 303, 82, 500 Calculator

Given Input numbers are 438, 303, 82, 500

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 438, 303, 82, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 303, 82, 500 is 1.

Therefore, GCD of numbers 438, 303, 82, 500 is 1

Given Input Data is 438, 303, 82, 500

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 303 is 3 x 101

Prime Factorization of 82 is 2 x 41

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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(438, 303) = 44238

GCD(438, 303) = ( 438 x 303 ) / 44238

GCD(438, 303) = 132714 / 44238

GCD(438, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 82

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

LCM(3, 82) = 246

GCD(3, 82) = ( 3 x 82 ) / 246

GCD(3, 82) = 246 / 246

GCD(3, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 438, 303, 82, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 498, 65, 445
• GCD of 341, 654, 11, 709
• GCD of 109, 865, 24, 592
• GCD of 440, 654, 14, 533
• GCD of 682, 955, 53, 340

1. What is the GCD of 438, 303, 82, 500?

GCD of 438, 303, 82, 500 is 1

2. Where do I get the detailed procedure to find GCD of 438, 303, 82, 500?

You can find a detailed procedure to find GCD of 438, 303, 82, 500 on our page.

3. How to find GCD of 438, 303, 82, 500 on a calculator?

You can find the GCD of 438, 303, 82, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.