GCD of 14, 144, 903, 709 Calculator

Given Input numbers are 14, 144, 903, 709

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 903

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

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

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 14, 144, 903, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 144, 903, 709 is 1.

Therefore, GCD of numbers 14, 144, 903, 709 is 1

Given Input Data is 14, 144, 903, 709

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

Prime Factorization of 14 is 2 x 7

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

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 709 is 709

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(14, 144) = 1008

GCD(14, 144) = ( 14 x 144 ) / 1008

GCD(14, 144) = 2016 / 1008

GCD(14, 144) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 903

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

LCM(2, 903) = 1806

GCD(2, 903) = ( 2 x 903 ) / 1806

GCD(2, 903) = 1806 / 1806

GCD(2, 903) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 14, 144, 903, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 191, 112, 277
• GCD of 67, 909, 920, 739
• GCD of 48, 455, 890, 101
• GCD of 72, 372, 928, 956
• GCD of 33, 666, 487, 450

1. What is the GCD of 14, 144, 903, 709?

GCD of 14, 144, 903, 709 is 1

2. Where do I get the detailed procedure to find GCD of 14, 144, 903, 709?

You can find a detailed procedure to find GCD of 14, 144, 903, 709 on our page.

3. How to find GCD of 14, 144, 903, 709 on a calculator?

You can find the GCD of 14, 144, 903, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.