GCD of 463, 687, 78, 231 Calculator

Given Input numbers are 463, 687, 78, 231

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

Divisors of 463

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

1, 463

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 463, 687, 78, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 687, 78, 231 is 1.

Therefore, GCD of numbers 463, 687, 78, 231 is 1

Given Input Data is 463, 687, 78, 231

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

Prime Factorization of 463 is 463

Prime Factorization of 687 is 3 x 229

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 231 is 3 x 7 x 11

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(463, 687) = 318081

GCD(463, 687) = ( 463 x 687 ) / 318081

GCD(463, 687) = 318081 / 318081

GCD(463, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 463, 687, 78, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 434, 39, 176
• GCD of 339, 819, 47, 806
• GCD of 724, 778, 48, 129
• GCD of 231, 185, 99, 200
• GCD of 225, 786, 42, 346

1. What is the GCD of 463, 687, 78, 231?

GCD of 463, 687, 78, 231 is 1

2. Where do I get the detailed procedure to find GCD of 463, 687, 78, 231?

You can find a detailed procedure to find GCD of 463, 687, 78, 231 on our page.

3. How to find GCD of 463, 687, 78, 231 on a calculator?

You can find the GCD of 463, 687, 78, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.