GCD of 404, 986, 749, 409 Calculator

Given Input numbers are 404, 986, 749, 409

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 409

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

1, 409

Greatest Common Divisior

We found the divisors of 404, 986, 749, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 986, 749, 409 is 1.

Therefore, GCD of numbers 404, 986, 749, 409 is 1

Given Input Data is 404, 986, 749, 409

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 749 is 7 x 107

Prime Factorization of 409 is 409

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(404, 986) = 199172

GCD(404, 986) = ( 404 x 986 ) / 199172

GCD(404, 986) = 398344 / 199172

GCD(404, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 404, 986, 749, 409 is 1

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1. What is the GCD of 404, 986, 749, 409?

GCD of 404, 986, 749, 409 is 1

2. Where do I get the detailed procedure to find GCD of 404, 986, 749, 409?

You can find a detailed procedure to find GCD of 404, 986, 749, 409 on our page.

3. How to find GCD of 404, 986, 749, 409 on a calculator?

You can find the GCD of 404, 986, 749, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.