GCD of 230, 146, 519, 462 Calculator

Given Input numbers are 230, 146, 519, 462

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 230, 146, 519, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 146, 519, 462 is 1.

Therefore, GCD of numbers 230, 146, 519, 462 is 1

Given Input Data is 230, 146, 519, 462

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 146 is 2 x 73

Prime Factorization of 519 is 3 x 173

Prime Factorization of 462 is 2 x 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(230, 146) = 16790

GCD(230, 146) = ( 230 x 146 ) / 16790

GCD(230, 146) = 33580 / 16790

GCD(230, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 519

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

LCM(2, 519) = 1038

GCD(2, 519) = ( 2 x 519 ) / 1038

GCD(2, 519) = 1038 / 1038

GCD(2, 519) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 230, 146, 519, 462 is 1

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1. What is the GCD of 230, 146, 519, 462?

GCD of 230, 146, 519, 462 is 1

2. Where do I get the detailed procedure to find GCD of 230, 146, 519, 462?

You can find a detailed procedure to find GCD of 230, 146, 519, 462 on our page.

3. How to find GCD of 230, 146, 519, 462 on a calculator?

You can find the GCD of 230, 146, 519, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.