GCD of 394, 665, 590, 686 Calculator

Given Input numbers are 394, 665, 590, 686

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 394, 665, 590, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 665, 590, 686 is 1.

Therefore, GCD of numbers 394, 665, 590, 686 is 1

Given Input Data is 394, 665, 590, 686

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(394, 665) = 262010

GCD(394, 665) = ( 394 x 665 ) / 262010

GCD(394, 665) = 262010 / 262010

GCD(394, 665) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 394, 665, 590, 686 is 1

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1. What is the GCD of 394, 665, 590, 686?

GCD of 394, 665, 590, 686 is 1

2. Where do I get the detailed procedure to find GCD of 394, 665, 590, 686?

You can find a detailed procedure to find GCD of 394, 665, 590, 686 on our page.

3. How to find GCD of 394, 665, 590, 686 on a calculator?

You can find the GCD of 394, 665, 590, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.