GCD of 344, 103, 40, 317 Calculator

Given Input numbers are 344, 103, 40, 317

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 344, 103, 40, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 103, 40, 317 is 1.

Therefore, GCD of numbers 344, 103, 40, 317 is 1

Given Input Data is 344, 103, 40, 317

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 103 is 103

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 317 is 317

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(344, 103) = 35432

GCD(344, 103) = ( 344 x 103 ) / 35432

GCD(344, 103) = 35432 / 35432

GCD(344, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

GCD of 344, 103, 40, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 779, 72, 440
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1. What is the GCD of 344, 103, 40, 317?

GCD of 344, 103, 40, 317 is 1

2. Where do I get the detailed procedure to find GCD of 344, 103, 40, 317?

You can find a detailed procedure to find GCD of 344, 103, 40, 317 on our page.

3. How to find GCD of 344, 103, 40, 317 on a calculator?

You can find the GCD of 344, 103, 40, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.