GCD of 509, 215, 646, 401 Calculator

Given Input numbers are 509, 215, 646, 401

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

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 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 509, 215, 646, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 215, 646, 401 is 1.

Therefore, GCD of numbers 509, 215, 646, 401 is 1

Given Input Data is 509, 215, 646, 401

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

Prime Factorization of 509 is 509

Prime Factorization of 215 is 5 x 43

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 401 is 401

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(509, 215) = 109435

GCD(509, 215) = ( 509 x 215 ) / 109435

GCD(509, 215) = 109435 / 109435

GCD(509, 215) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 646

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

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

GCD(1, 646) = 646 / 646

GCD(1, 646) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 509, 215, 646, 401 is 1

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1. What is the GCD of 509, 215, 646, 401?

GCD of 509, 215, 646, 401 is 1

2. Where do I get the detailed procedure to find GCD of 509, 215, 646, 401?

You can find a detailed procedure to find GCD of 509, 215, 646, 401 on our page.

3. How to find GCD of 509, 215, 646, 401 on a calculator?

You can find the GCD of 509, 215, 646, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.