GCD of 51, 279, 679, 405 Calculator

Given Input numbers are 51, 279, 679, 405

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Greatest Common Divisior

We found the divisors of 51, 279, 679, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 279, 679, 405 is 1.

Therefore, GCD of numbers 51, 279, 679, 405 is 1

Given Input Data is 51, 279, 679, 405

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 679 is 7 x 97

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

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(51, 279) = 4743

GCD(51, 279) = ( 51 x 279 ) / 4743

GCD(51, 279) = 14229 / 4743

GCD(51, 279) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 679

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

LCM(3, 679) = 2037

GCD(3, 679) = ( 3 x 679 ) / 2037

GCD(3, 679) = 2037 / 2037

GCD(3, 679) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 405

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

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

GCD(1, 405) = 405 / 405

GCD(1, 405) = 1

GCD of 51, 279, 679, 405 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 866, 618, 628
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• GCD of 68, 979, 362, 750
• GCD of 36, 256, 936, 340

1. What is the GCD of 51, 279, 679, 405?

GCD of 51, 279, 679, 405 is 1

2. Where do I get the detailed procedure to find GCD of 51, 279, 679, 405?

You can find a detailed procedure to find GCD of 51, 279, 679, 405 on our page.

3. How to find GCD of 51, 279, 679, 405 on a calculator?

You can find the GCD of 51, 279, 679, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.