GCD of 903, 726, 144, 133 Calculator

Given Input numbers are 903, 726, 144, 133

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

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

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 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 903, 726, 144, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 726, 144, 133 is 1.

Therefore, GCD of numbers 903, 726, 144, 133 is 1

Given Input Data is 903, 726, 144, 133

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

Prime Factorization of 903 is 3 x 7 x 43

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 133 is 7 x 19

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(903, 726) = 218526

GCD(903, 726) = ( 903 x 726 ) / 218526

GCD(903, 726) = 655578 / 218526

GCD(903, 726) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 144

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

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

GCD(3, 144) = 432 / 144

GCD(3, 144) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 133

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

LCM(3, 133) = 399

GCD(3, 133) = ( 3 x 133 ) / 399

GCD(3, 133) = 399 / 399

GCD(3, 133) = 1

GCD of 903, 726, 144, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 513, 111, 570
• GCD of 999, 308, 653, 138
• GCD of 250, 741, 339, 802
• GCD of 616, 903, 726, 419
• GCD of 457, 839, 162, 520

1. What is the GCD of 903, 726, 144, 133?

GCD of 903, 726, 144, 133 is 1

2. Where do I get the detailed procedure to find GCD of 903, 726, 144, 133?

You can find a detailed procedure to find GCD of 903, 726, 144, 133 on our page.

3. How to find GCD of 903, 726, 144, 133 on a calculator?

You can find the GCD of 903, 726, 144, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.