GCD of 441, 721, 21, 867 Calculator

Given Input numbers are 441, 721, 21, 867

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

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 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 21

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

1, 3, 7, 21

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 441, 721, 21, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 721, 21, 867 is 1.

Therefore, GCD of numbers 441, 721, 21, 867 is 1

Given Input Data is 441, 721, 21, 867

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

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 21 is 3 x 7

Prime Factorization of 867 is 3 x 17 x 17

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(441, 721) = 45423

GCD(441, 721) = ( 441 x 721 ) / 45423

GCD(441, 721) = 317961 / 45423

GCD(441, 721) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 21

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

LCM(7, 21) = 21

GCD(7, 21) = ( 7 x 21 ) / 21

GCD(7, 21) = 147 / 21

GCD(7, 21) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 867

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

LCM(7, 867) = 6069

GCD(7, 867) = ( 7 x 867 ) / 6069

GCD(7, 867) = 6069 / 6069

GCD(7, 867) = 1

GCD of 441, 721, 21, 867 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 155, 42, 434
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• GCD of 639, 181, 51, 212
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• GCD of 822, 376, 87, 641

1. What is the GCD of 441, 721, 21, 867?

GCD of 441, 721, 21, 867 is 1

2. Where do I get the detailed procedure to find GCD of 441, 721, 21, 867?

You can find a detailed procedure to find GCD of 441, 721, 21, 867 on our page.

3. How to find GCD of 441, 721, 21, 867 on a calculator?

You can find the GCD of 441, 721, 21, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.