GCD of 304, 209, 46, 458 Calculator

Given Input numbers are 304, 209, 46, 458

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 304, 209, 46, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 209, 46, 458 is 1.

Therefore, GCD of numbers 304, 209, 46, 458 is 1

Given Input Data is 304, 209, 46, 458

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 209 is 11 x 19

Prime Factorization of 46 is 2 x 23

Prime Factorization of 458 is 2 x 229

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(304, 209) = 3344

GCD(304, 209) = ( 304 x 209 ) / 3344

GCD(304, 209) = 63536 / 3344

GCD(304, 209) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 46

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

LCM(19, 46) = 874

GCD(19, 46) = ( 19 x 46 ) / 874

GCD(19, 46) = 874 / 874

GCD(19, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 304, 209, 46, 458 is 1

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• GCD of 891, 113, 57, 926
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• GCD of 146, 965, 20, 778

1. What is the GCD of 304, 209, 46, 458?

GCD of 304, 209, 46, 458 is 1

2. Where do I get the detailed procedure to find GCD of 304, 209, 46, 458?

You can find a detailed procedure to find GCD of 304, 209, 46, 458 on our page.

3. How to find GCD of 304, 209, 46, 458 on a calculator?

You can find the GCD of 304, 209, 46, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.