GCD of 401, 302, 39, 686 Calculator

Given Input numbers are 401, 302, 39, 686

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

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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 401, 302, 39, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 302, 39, 686 is 1.

Therefore, GCD of numbers 401, 302, 39, 686 is 1

Given Input Data is 401, 302, 39, 686

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

Prime Factorization of 401 is 401

Prime Factorization of 302 is 2 x 151

Prime Factorization of 39 is 3 x 13

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(401, 302) = 121102

GCD(401, 302) = ( 401 x 302 ) / 121102

GCD(401, 302) = 121102 / 121102

GCD(401, 302) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 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 401, 302, 39, 686 is 1

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1. What is the GCD of 401, 302, 39, 686?

GCD of 401, 302, 39, 686 is 1

2. Where do I get the detailed procedure to find GCD of 401, 302, 39, 686?

You can find a detailed procedure to find GCD of 401, 302, 39, 686 on our page.

3. How to find GCD of 401, 302, 39, 686 on a calculator?

You can find the GCD of 401, 302, 39, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.