GCD of 682, 505, 47, 404 Calculator

Given Input numbers are 682, 505, 47, 404

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 404

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

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 682, 505, 47, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 505, 47, 404 is 1.

Therefore, GCD of numbers 682, 505, 47, 404 is 1

Given Input Data is 682, 505, 47, 404

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 505 is 5 x 101

Prime Factorization of 47 is 47

Prime Factorization of 404 is 2 x 2 x 101

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(682, 505) = 344410

GCD(682, 505) = ( 682 x 505 ) / 344410

GCD(682, 505) = 344410 / 344410

GCD(682, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 682, 505, 47, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 433, 76, 487
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• GCD of 590, 264, 76, 737
• GCD of 872, 122, 17, 886
• GCD of 359, 730, 69, 391

1. What is the GCD of 682, 505, 47, 404?

GCD of 682, 505, 47, 404 is 1

2. Where do I get the detailed procedure to find GCD of 682, 505, 47, 404?

You can find a detailed procedure to find GCD of 682, 505, 47, 404 on our page.

3. How to find GCD of 682, 505, 47, 404 on a calculator?

You can find the GCD of 682, 505, 47, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.