GCD of 794, 450, 17, 648 Calculator

Given Input numbers are 794, 450, 17, 648

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

Divisors of 794

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

1, 2, 397, 794

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 17

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

1, 17

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 794, 450, 17, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 450, 17, 648 is 1.

Therefore, GCD of numbers 794, 450, 17, 648 is 1

Given Input Data is 794, 450, 17, 648

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 17 is 17

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(794, 450) = 178650

GCD(794, 450) = ( 794 x 450 ) / 178650

GCD(794, 450) = 357300 / 178650

GCD(794, 450) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 794, 450, 17, 648 is 1

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1. What is the GCD of 794, 450, 17, 648?

GCD of 794, 450, 17, 648 is 1

2. Where do I get the detailed procedure to find GCD of 794, 450, 17, 648?

You can find a detailed procedure to find GCD of 794, 450, 17, 648 on our page.

3. How to find GCD of 794, 450, 17, 648 on a calculator?

You can find the GCD of 794, 450, 17, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.