GCD of 338, 884, 451 Calculator

Given Input numbers are 338, 884, 451

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

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Greatest Common Divisior

We found the divisors of 338, 884, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 884, 451 is 1.

Therefore, GCD of numbers 338, 884, 451 is 1

Given Input Data is 338, 884, 451

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 451 is 11 x 41

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(338, 884) = 11492

GCD(338, 884) = ( 338 x 884 ) / 11492

GCD(338, 884) = 298792 / 11492

GCD(338, 884) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 451

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

LCM(26, 451) = 11726

GCD(26, 451) = ( 26 x 451 ) / 11726

GCD(26, 451) = 11726 / 11726

GCD(26, 451) = 1

GCD of 338, 884, 451 is 1

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1. What is the GCD of 338, 884, 451?

GCD of 338, 884, 451 is 1

2. Where do I get the detailed procedure to find GCD of 338, 884, 451?

You can find a detailed procedure to find GCD of 338, 884, 451 on our page.

3. How to find GCD of 338, 884, 451 on a calculator?

You can find the GCD of 338, 884, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.