GCD of 825, 428, 310, 481 Calculator

Given Input numbers are 825, 428, 310, 481

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 310

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

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

Divisors of 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Greatest Common Divisior

We found the divisors of 825, 428, 310, 481 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 428, 310, 481 is 1.

Therefore, GCD of numbers 825, 428, 310, 481 is 1

Given Input Data is 825, 428, 310, 481

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 481 is 13 x 37

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(825, 428) = 353100

GCD(825, 428) = ( 825 x 428 ) / 353100

GCD(825, 428) = 353100 / 353100

GCD(825, 428) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 481

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

LCM(1, 481) = 481

GCD(1, 481) = ( 1 x 481 ) / 481

GCD(1, 481) = 481 / 481

GCD(1, 481) = 1

GCD of 825, 428, 310, 481 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 104, 410, 679
• GCD of 918, 315, 292, 458
• GCD of 428, 834, 173, 939
• GCD of 226, 350, 342, 586
• GCD of 890, 848, 112, 584

1. What is the GCD of 825, 428, 310, 481?

GCD of 825, 428, 310, 481 is 1

2. Where do I get the detailed procedure to find GCD of 825, 428, 310, 481?

You can find a detailed procedure to find GCD of 825, 428, 310, 481 on our page.

3. How to find GCD of 825, 428, 310, 481 on a calculator?

You can find the GCD of 825, 428, 310, 481 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.