GCD of 109, 314, 95, 317 Calculator

Given Input numbers are 109, 314, 95, 317

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

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 109, 314, 95, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 314, 95, 317 is 1.

Therefore, GCD of numbers 109, 314, 95, 317 is 1

Given Input Data is 109, 314, 95, 317

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

Prime Factorization of 109 is 109

Prime Factorization of 314 is 2 x 157

Prime Factorization of 95 is 5 x 19

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(109, 314) = 34226

GCD(109, 314) = ( 109 x 314 ) / 34226

GCD(109, 314) = 34226 / 34226

GCD(109, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 95

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

LCM(1, 95) = 95

GCD(1, 95) = ( 1 x 95 ) / 95

GCD(1, 95) = 95 / 95

GCD(1, 95) = 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 109, 314, 95, 317 is 1

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1. What is the GCD of 109, 314, 95, 317?

GCD of 109, 314, 95, 317 is 1

2. Where do I get the detailed procedure to find GCD of 109, 314, 95, 317?

You can find a detailed procedure to find GCD of 109, 314, 95, 317 on our page.

3. How to find GCD of 109, 314, 95, 317 on a calculator?

You can find the GCD of 109, 314, 95, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.