GCD of 500, 338, 738, 783 Calculator

Given Input numbers are 500, 338, 738, 783

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

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 500, 338, 738, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 338, 738, 783 is 1.

Therefore, GCD of numbers 500, 338, 738, 783 is 1

Given Input Data is 500, 338, 738, 783

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

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 783 is 3 x 3 x 3 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(500, 338) = 84500

GCD(500, 338) = ( 500 x 338 ) / 84500

GCD(500, 338) = 169000 / 84500

GCD(500, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 783

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

LCM(2, 783) = 1566

GCD(2, 783) = ( 2 x 783 ) / 1566

GCD(2, 783) = 1566 / 1566

GCD(2, 783) = 1

GCD of 500, 338, 738, 783 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 472, 238, 269
• GCD of 916, 506, 172, 718
• GCD of 148, 340, 829, 916
• GCD of 777, 195, 449, 278
• GCD of 308, 779, 207, 829

1. What is the GCD of 500, 338, 738, 783?

GCD of 500, 338, 738, 783 is 1

2. Where do I get the detailed procedure to find GCD of 500, 338, 738, 783?

You can find a detailed procedure to find GCD of 500, 338, 738, 783 on our page.

3. How to find GCD of 500, 338, 738, 783 on a calculator?

You can find the GCD of 500, 338, 738, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.