GCD of 316, 409, 130, 346 Calculator

Given Input numbers are 316, 409, 130, 346

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 316, 409, 130, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 409, 130, 346 is 1.

Therefore, GCD of numbers 316, 409, 130, 346 is 1

Given Input Data is 316, 409, 130, 346

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 409 is 409

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 346 is 2 x 173

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(316, 409) = 129244

GCD(316, 409) = ( 316 x 409 ) / 129244

GCD(316, 409) = 129244 / 129244

GCD(316, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

GCD of 316, 409, 130, 346 is 1

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1. What is the GCD of 316, 409, 130, 346?

GCD of 316, 409, 130, 346 is 1

2. Where do I get the detailed procedure to find GCD of 316, 409, 130, 346?

You can find a detailed procedure to find GCD of 316, 409, 130, 346 on our page.

3. How to find GCD of 316, 409, 130, 346 on a calculator?

You can find the GCD of 316, 409, 130, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.