GCD of 313, 108, 424 Calculator

Given Input numbers are 313, 108, 424

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 313, 108, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 108, 424 is 1.

Therefore, GCD of numbers 313, 108, 424 is 1

Given Input Data is 313, 108, 424

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

Prime Factorization of 313 is 313

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(313, 108) = 33804

GCD(313, 108) = ( 313 x 108 ) / 33804

GCD(313, 108) = 33804 / 33804

GCD(313, 108) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 313, 108, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 946, 136
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• GCD of 905, 571, 111
• GCD of 592, 115, 226
• GCD of 180, 430, 581

1. What is the GCD of 313, 108, 424?

GCD of 313, 108, 424 is 1

2. Where do I get the detailed procedure to find GCD of 313, 108, 424?

You can find a detailed procedure to find GCD of 313, 108, 424 on our page.

3. How to find GCD of 313, 108, 424 on a calculator?

You can find the GCD of 313, 108, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.