GCD of 646, 688, 50, 405 Calculator

Given Input numbers are 646, 688, 50, 405

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

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 646, 688, 50, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 688, 50, 405 is 1.

Therefore, GCD of numbers 646, 688, 50, 405 is 1

Given Input Data is 646, 688, 50, 405

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 50 is 2 x 5 x 5

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(646, 688) = 222224

GCD(646, 688) = ( 646 x 688 ) / 222224

GCD(646, 688) = 444448 / 222224

GCD(646, 688) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 405

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

LCM(2, 405) = 810

GCD(2, 405) = ( 2 x 405 ) / 810

GCD(2, 405) = 810 / 810

GCD(2, 405) = 1

GCD of 646, 688, 50, 405 is 1

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1. What is the GCD of 646, 688, 50, 405?

GCD of 646, 688, 50, 405 is 1

2. Where do I get the detailed procedure to find GCD of 646, 688, 50, 405?

You can find a detailed procedure to find GCD of 646, 688, 50, 405 on our page.

3. How to find GCD of 646, 688, 50, 405 on a calculator?

You can find the GCD of 646, 688, 50, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.