GCD of 795, 205, 190, 313 Calculator

Given Input numbers are 795, 205, 190, 313

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

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 313

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

1, 313

Greatest Common Divisior

We found the divisors of 795, 205, 190, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 205, 190, 313 is 1.

Therefore, GCD of numbers 795, 205, 190, 313 is 1

Given Input Data is 795, 205, 190, 313

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

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 205 is 5 x 41

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 313 is 313

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(795, 205) = 32595

GCD(795, 205) = ( 795 x 205 ) / 32595

GCD(795, 205) = 162975 / 32595

GCD(795, 205) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 190

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

LCM(5, 190) = 190

GCD(5, 190) = ( 5 x 190 ) / 190

GCD(5, 190) = 950 / 190

GCD(5, 190) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 313

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

LCM(5, 313) = 1565

GCD(5, 313) = ( 5 x 313 ) / 1565

GCD(5, 313) = 1565 / 1565

GCD(5, 313) = 1

GCD of 795, 205, 190, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 677, 212, 283, 174
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• GCD of 314, 561, 618, 299

1. What is the GCD of 795, 205, 190, 313?

GCD of 795, 205, 190, 313 is 1

2. Where do I get the detailed procedure to find GCD of 795, 205, 190, 313?

You can find a detailed procedure to find GCD of 795, 205, 190, 313 on our page.

3. How to find GCD of 795, 205, 190, 313 on a calculator?

You can find the GCD of 795, 205, 190, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.