GCD of 17, 144, 794, 909 Calculator

Given Input numbers are 17, 144, 794, 909

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 17, 144, 794, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 144, 794, 909 is 1.

Therefore, GCD of numbers 17, 144, 794, 909 is 1

Given Input Data is 17, 144, 794, 909

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

Prime Factorization of 17 is 17

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 909 is 3 x 3 x 101

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(17, 144) = 2448

GCD(17, 144) = ( 17 x 144 ) / 2448

GCD(17, 144) = 2448 / 2448

GCD(17, 144) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 794

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

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

GCD(1, 794) = 794 / 794

GCD(1, 794) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 17, 144, 794, 909 is 1

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1. What is the GCD of 17, 144, 794, 909?

GCD of 17, 144, 794, 909 is 1

2. Where do I get the detailed procedure to find GCD of 17, 144, 794, 909?

You can find a detailed procedure to find GCD of 17, 144, 794, 909 on our page.

3. How to find GCD of 17, 144, 794, 909 on a calculator?

You can find the GCD of 17, 144, 794, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.