GCD of 109, 413, 13, 310 Calculator

Given Input numbers are 109, 413, 13, 310

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 109, 413, 13, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 413, 13, 310 is 1.

Therefore, GCD of numbers 109, 413, 13, 310 is 1

Given Input Data is 109, 413, 13, 310

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

Prime Factorization of 109 is 109

Prime Factorization of 413 is 7 x 59

Prime Factorization of 13 is 13

Prime Factorization of 310 is 2 x 5 x 31

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, 413) = 45017

GCD(109, 413) = ( 109 x 413 ) / 45017

GCD(109, 413) = 45017 / 45017

GCD(109, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 109, 413, 13, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 954, 99, 717
• GCD of 161, 304, 33, 377
• GCD of 959, 507, 56, 135
• GCD of 713, 927, 84, 803
• GCD of 631, 177, 11, 330

1. What is the GCD of 109, 413, 13, 310?

GCD of 109, 413, 13, 310 is 1

2. Where do I get the detailed procedure to find GCD of 109, 413, 13, 310?

You can find a detailed procedure to find GCD of 109, 413, 13, 310 on our page.

3. How to find GCD of 109, 413, 13, 310 on a calculator?

You can find the GCD of 109, 413, 13, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.