GCD of 413, 378, 351 Calculator

Given Input numbers are 413, 378, 351

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 413, 378, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 378, 351 is 1.

Therefore, GCD of numbers 413, 378, 351 is 1

Given Input Data is 413, 378, 351

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 351 is 3 x 3 x 3 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(413, 378) = 22302

GCD(413, 378) = ( 413 x 378 ) / 22302

GCD(413, 378) = 156114 / 22302

GCD(413, 378) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 351

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

LCM(7, 351) = 2457

GCD(7, 351) = ( 7 x 351 ) / 2457

GCD(7, 351) = 2457 / 2457

GCD(7, 351) = 1

GCD of 413, 378, 351 is 1

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1. What is the GCD of 413, 378, 351?

GCD of 413, 378, 351 is 1

2. Where do I get the detailed procedure to find GCD of 413, 378, 351?

You can find a detailed procedure to find GCD of 413, 378, 351 on our page.

3. How to find GCD of 413, 378, 351 on a calculator?

You can find the GCD of 413, 378, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.