GCD of 796, 209, 288, 648 Calculator

Given Input numbers are 796, 209, 288, 648

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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 796, 209, 288, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 209, 288, 648 is 1.

Therefore, GCD of numbers 796, 209, 288, 648 is 1

Given Input Data is 796, 209, 288, 648

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 209 is 11 x 19

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(796, 209) = 166364

GCD(796, 209) = ( 796 x 209 ) / 166364

GCD(796, 209) = 166364 / 166364

GCD(796, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 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 796, 209, 288, 648 is 1

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1. What is the GCD of 796, 209, 288, 648?

GCD of 796, 209, 288, 648 is 1

2. Where do I get the detailed procedure to find GCD of 796, 209, 288, 648?

You can find a detailed procedure to find GCD of 796, 209, 288, 648 on our page.

3. How to find GCD of 796, 209, 288, 648 on a calculator?

You can find the GCD of 796, 209, 288, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.