GCD of 726, 199, 115, 500 Calculator

Given Input numbers are 726, 199, 115, 500

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

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 726, 199, 115, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 199, 115, 500 is 1.

Therefore, GCD of numbers 726, 199, 115, 500 is 1

Given Input Data is 726, 199, 115, 500

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 199 is 199

Prime Factorization of 115 is 5 x 23

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(726, 199) = 144474

GCD(726, 199) = ( 726 x 199 ) / 144474

GCD(726, 199) = 144474 / 144474

GCD(726, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 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 726, 199, 115, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 555, 271, 713
• GCD of 221, 147, 830, 771
• GCD of 201, 774, 153, 253
• GCD of 391, 725, 397, 190
• GCD of 623, 376, 988, 795

1. What is the GCD of 726, 199, 115, 500?

GCD of 726, 199, 115, 500 is 1

2. Where do I get the detailed procedure to find GCD of 726, 199, 115, 500?

You can find a detailed procedure to find GCD of 726, 199, 115, 500 on our page.

3. How to find GCD of 726, 199, 115, 500 on a calculator?

You can find the GCD of 726, 199, 115, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.