GCD of 416, 845, 338 Calculator

Given Input numbers are 416, 845, 338

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 416, 845, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 845, 338 is 13.

Therefore, GCD of numbers 416, 845, 338 is 13

Given Input Data is 416, 845, 338

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 338 is 2 x 13 x 13

Highest common occurrences in the given inputs are 13¹

Multiplying them we get the GCD as 13

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(416, 845) = 27040

GCD(416, 845) = ( 416 x 845 ) / 27040

GCD(416, 845) = 351520 / 27040

GCD(416, 845) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 338

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

LCM(13, 338) = 338

GCD(13, 338) = ( 13 x 338 ) / 338

GCD(13, 338) = 4394 / 338

GCD(13, 338) = 13

GCD of 416, 845, 338 is 13

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1. What is the GCD of 416, 845, 338?

GCD of 416, 845, 338 is 13

2. Where do I get the detailed procedure to find GCD of 416, 845, 338?

You can find a detailed procedure to find GCD of 416, 845, 338 on our page.

3. How to find GCD of 416, 845, 338 on a calculator?

You can find the GCD of 416, 845, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.