GCD of 367, 686, 412, 430 Calculator

Given Input numbers are 367, 686, 412, 430

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

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Greatest Common Divisior

We found the divisors of 367, 686, 412, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 686, 412, 430 is 1.

Therefore, GCD of numbers 367, 686, 412, 430 is 1

Given Input Data is 367, 686, 412, 430

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

Prime Factorization of 367 is 367

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 430 is 2 x 5 x 43

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(367, 686) = 251762

GCD(367, 686) = ( 367 x 686 ) / 251762

GCD(367, 686) = 251762 / 251762

GCD(367, 686) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 430

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

LCM(1, 430) = 430

GCD(1, 430) = ( 1 x 430 ) / 430

GCD(1, 430) = 430 / 430

GCD(1, 430) = 1

GCD of 367, 686, 412, 430 is 1

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1. What is the GCD of 367, 686, 412, 430?

GCD of 367, 686, 412, 430 is 1

2. Where do I get the detailed procedure to find GCD of 367, 686, 412, 430?

You can find a detailed procedure to find GCD of 367, 686, 412, 430 on our page.

3. How to find GCD of 367, 686, 412, 430 on a calculator?

You can find the GCD of 367, 686, 412, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.