GCD of 409, 507, 106, 361 Calculator

Given Input numbers are 409, 507, 106, 361

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 409, 507, 106, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 507, 106, 361 is 1.

Therefore, GCD of numbers 409, 507, 106, 361 is 1

Given Input Data is 409, 507, 106, 361

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

Prime Factorization of 409 is 409

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 106 is 2 x 53

Prime Factorization of 361 is 19 x 19

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(409, 507) = 207363

GCD(409, 507) = ( 409 x 507 ) / 207363

GCD(409, 507) = 207363 / 207363

GCD(409, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 409, 507, 106, 361 is 1

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1. What is the GCD of 409, 507, 106, 361?

GCD of 409, 507, 106, 361 is 1

2. Where do I get the detailed procedure to find GCD of 409, 507, 106, 361?

You can find a detailed procedure to find GCD of 409, 507, 106, 361 on our page.

3. How to find GCD of 409, 507, 106, 361 on a calculator?

You can find the GCD of 409, 507, 106, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.