GCD of 686, 395, 364 Calculator

Given Input numbers are 686, 395, 364

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

Divisors of 686

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

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 686, 395, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 395, 364 is 1.

Therefore, GCD of numbers 686, 395, 364 is 1

Given Input Data is 686, 395, 364

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

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(686, 395) = 270970

GCD(686, 395) = ( 686 x 395 ) / 270970

GCD(686, 395) = 270970 / 270970

GCD(686, 395) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 686, 395, 364 is 1

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1. What is the GCD of 686, 395, 364?

GCD of 686, 395, 364 is 1

2. Where do I get the detailed procedure to find GCD of 686, 395, 364?

You can find a detailed procedure to find GCD of 686, 395, 364 on our page.

3. How to find GCD of 686, 395, 364 on a calculator?

You can find the GCD of 686, 395, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.