GCD of 441, 861, 24, 310 Calculator

Given Input numbers are 441, 861, 24, 310

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 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 441, 861, 24, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 861, 24, 310 is 1.

Therefore, GCD of numbers 441, 861, 24, 310 is 1

Given Input Data is 441, 861, 24, 310

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 861 is 3 x 7 x 41

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 310 is 2 x 5 x 31

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, 861) = 18081

GCD(441, 861) = ( 441 x 861 ) / 18081

GCD(441, 861) = 379701 / 18081

GCD(441, 861) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 24

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

LCM(21, 24) = 168

GCD(21, 24) = ( 21 x 24 ) / 168

GCD(21, 24) = 504 / 168

GCD(21, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 310

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

LCM(3, 310) = 930

GCD(3, 310) = ( 3 x 310 ) / 930

GCD(3, 310) = 930 / 930

GCD(3, 310) = 1

GCD of 441, 861, 24, 310 is 1

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• GCD of 501, 386, 40, 752
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• GCD of 797, 251, 41, 215

1. What is the GCD of 441, 861, 24, 310?

GCD of 441, 861, 24, 310 is 1

2. Where do I get the detailed procedure to find GCD of 441, 861, 24, 310?

You can find a detailed procedure to find GCD of 441, 861, 24, 310 on our page.

3. How to find GCD of 441, 861, 24, 310 on a calculator?

You can find the GCD of 441, 861, 24, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.