GCD of 115, 463, 224, 390 Calculator

Given Input numbers are 115, 463, 224, 390

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 115, 463, 224, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 463, 224, 390 is 1.

Therefore, GCD of numbers 115, 463, 224, 390 is 1

Given Input Data is 115, 463, 224, 390

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 463 is 463

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 390 is 2 x 3 x 5 x 13

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(115, 463) = 53245

GCD(115, 463) = ( 115 x 463 ) / 53245

GCD(115, 463) = 53245 / 53245

GCD(115, 463) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 115, 463, 224, 390 is 1

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1. What is the GCD of 115, 463, 224, 390?

GCD of 115, 463, 224, 390 is 1

2. Where do I get the detailed procedure to find GCD of 115, 463, 224, 390?

You can find a detailed procedure to find GCD of 115, 463, 224, 390 on our page.

3. How to find GCD of 115, 463, 224, 390 on a calculator?

You can find the GCD of 115, 463, 224, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.