GCD of 418, 446, 756, 304 Calculator

Given Input numbers are 418, 446, 756, 304

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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

Greatest Common Divisior

We found the divisors of 418, 446, 756, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 446, 756, 304 is 2.

Therefore, GCD of numbers 418, 446, 756, 304 is 2

Given Input Data is 418, 446, 756, 304

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 446 is 2 x 223

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(418, 446) = 93214

GCD(418, 446) = ( 418 x 446 ) / 93214

GCD(418, 446) = 186428 / 93214

GCD(418, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 304

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

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

GCD(2, 304) = 608 / 304

GCD(2, 304) = 2

GCD of 418, 446, 756, 304 is 2

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1. What is the GCD of 418, 446, 756, 304?

GCD of 418, 446, 756, 304 is 2

2. Where do I get the detailed procedure to find GCD of 418, 446, 756, 304?

You can find a detailed procedure to find GCD of 418, 446, 756, 304 on our page.

3. How to find GCD of 418, 446, 756, 304 on a calculator?

You can find the GCD of 418, 446, 756, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.