GCD of 678, 351, 13, 905 Calculator

Given Input numbers are 678, 351, 13, 905

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 351

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

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 678, 351, 13, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 351, 13, 905 is 1.

Therefore, GCD of numbers 678, 351, 13, 905 is 1

Given Input Data is 678, 351, 13, 905

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 13 is 13

Prime Factorization of 905 is 5 x 181

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(678, 351) = 79326

GCD(678, 351) = ( 678 x 351 ) / 79326

GCD(678, 351) = 237978 / 79326

GCD(678, 351) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

GCD of 678, 351, 13, 905 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 693, 55, 905
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• GCD of 810, 820, 98, 222

1. What is the GCD of 678, 351, 13, 905?

GCD of 678, 351, 13, 905 is 1

2. Where do I get the detailed procedure to find GCD of 678, 351, 13, 905?

You can find a detailed procedure to find GCD of 678, 351, 13, 905 on our page.

3. How to find GCD of 678, 351, 13, 905 on a calculator?

You can find the GCD of 678, 351, 13, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.