GCD of 288, 648, 494, 921 Calculator

Given Input numbers are 288, 648, 494, 921

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

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 288, 648, 494, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 648, 494, 921 is 1.

Therefore, GCD of numbers 288, 648, 494, 921 is 1

Given Input Data is 288, 648, 494, 921

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

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 921 is 3 x 307

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(288, 648) = 2592

GCD(288, 648) = ( 288 x 648 ) / 2592

GCD(288, 648) = 186624 / 2592

GCD(288, 648) = 72

Step2:

Here we consider the GCD from the above i.e. 72 as first number and the next as 494

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

LCM(72, 494) = 17784

GCD(72, 494) = ( 72 x 494 ) / 17784

GCD(72, 494) = 35568 / 17784

GCD(72, 494) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 921

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

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

GCD(2, 921) = 1842 / 1842

GCD(2, 921) = 1

GCD of 288, 648, 494, 921 is 1

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1. What is the GCD of 288, 648, 494, 921?

GCD of 288, 648, 494, 921 is 1

2. Where do I get the detailed procedure to find GCD of 288, 648, 494, 921?

You can find a detailed procedure to find GCD of 288, 648, 494, 921 on our page.

3. How to find GCD of 288, 648, 494, 921 on a calculator?

You can find the GCD of 288, 648, 494, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.