GCD of 230, 335, 456 Calculator

Given Input numbers are 230, 335, 456

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 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 230, 335, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 335, 456 is 1.

Therefore, GCD of numbers 230, 335, 456 is 1

Given Input Data is 230, 335, 456

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 335 is 5 x 67

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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, 335) = 15410

GCD(230, 335) = ( 230 x 335 ) / 15410

GCD(230, 335) = 77050 / 15410

GCD(230, 335) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 456

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

LCM(5, 456) = 2280

GCD(5, 456) = ( 5 x 456 ) / 2280

GCD(5, 456) = 2280 / 2280

GCD(5, 456) = 1

GCD of 230, 335, 456 is 1

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1. What is the GCD of 230, 335, 456?

GCD of 230, 335, 456 is 1

2. Where do I get the detailed procedure to find GCD of 230, 335, 456?

You can find a detailed procedure to find GCD of 230, 335, 456 on our page.

3. How to find GCD of 230, 335, 456 on a calculator?

You can find the GCD of 230, 335, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.