GCD of 419, 864, 338 Calculator

Given Input numbers are 419, 864, 338

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

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 419, 864, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 419, 864, 338 is 1.

Therefore, GCD of numbers 419, 864, 338 is 1

Given Input Data is 419, 864, 338

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

Prime Factorization of 419 is 419

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 338 is 2 x 13 x 13

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(419, 864) = 362016

GCD(419, 864) = ( 419 x 864 ) / 362016

GCD(419, 864) = 362016 / 362016

GCD(419, 864) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 419, 864, 338 is 1

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1. What is the GCD of 419, 864, 338?

GCD of 419, 864, 338 is 1

2. Where do I get the detailed procedure to find GCD of 419, 864, 338?

You can find a detailed procedure to find GCD of 419, 864, 338 on our page.

3. How to find GCD of 419, 864, 338 on a calculator?

You can find the GCD of 419, 864, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.