GCD of 720, 573, 21, 441 Calculator

Given Input numbers are 720, 573, 21, 441

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 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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

Greatest Common Divisior

We found the divisors of 720, 573, 21, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 573, 21, 441 is 3.

Therefore, GCD of numbers 720, 573, 21, 441 is 3

Given Input Data is 720, 573, 21, 441

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 573 is 3 x 191

Prime Factorization of 21 is 3 x 7

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 573) = 137520

GCD(720, 573) = ( 720 x 573 ) / 137520

GCD(720, 573) = 412560 / 137520

GCD(720, 573) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 441

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

LCM(3, 441) = 441

GCD(3, 441) = ( 3 x 441 ) / 441

GCD(3, 441) = 1323 / 441

GCD(3, 441) = 3

GCD of 720, 573, 21, 441 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 889, 81, 751
• GCD of 160, 781, 56, 409
• GCD of 467, 377, 97, 377
• GCD of 544, 824, 76, 827
• GCD of 949, 120, 91, 344

1. What is the GCD of 720, 573, 21, 441?

GCD of 720, 573, 21, 441 is 3

2. Where do I get the detailed procedure to find GCD of 720, 573, 21, 441?

You can find a detailed procedure to find GCD of 720, 573, 21, 441 on our page.

3. How to find GCD of 720, 573, 21, 441 on a calculator?

You can find the GCD of 720, 573, 21, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.