GCD of 720, 441, 864, 657 Calculator

Given Input numbers are 720, 441, 864, 657

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 720, 441, 864, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 441, 864, 657 is 9.

Therefore, GCD of numbers 720, 441, 864, 657 is 9

Given Input Data is 720, 441, 864, 657

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 657 is 3 x 3 x 73

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(720, 441) = 35280

GCD(720, 441) = ( 720 x 441 ) / 35280

GCD(720, 441) = 317520 / 35280

GCD(720, 441) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 864

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

LCM(9, 864) = 864

GCD(9, 864) = ( 9 x 864 ) / 864

GCD(9, 864) = 7776 / 864

GCD(9, 864) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 657

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

LCM(9, 657) = 657

GCD(9, 657) = ( 9 x 657 ) / 657

GCD(9, 657) = 5913 / 657

GCD(9, 657) = 9

GCD of 720, 441, 864, 657 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 460, 483, 536
• GCD of 961, 111, 403, 277
• GCD of 369, 816, 682, 403
• GCD of 863, 813, 813, 659
• GCD of 802, 265, 458, 803

1. What is the GCD of 720, 441, 864, 657?

GCD of 720, 441, 864, 657 is 9

2. Where do I get the detailed procedure to find GCD of 720, 441, 864, 657?

You can find a detailed procedure to find GCD of 720, 441, 864, 657 on our page.

3. How to find GCD of 720, 441, 864, 657 on a calculator?

You can find the GCD of 720, 441, 864, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.