GCD of 395, 920, 52, 805 Calculator

Given Input numbers are 395, 920, 52, 805

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Greatest Common Divisior

We found the divisors of 395, 920, 52, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 920, 52, 805 is 1.

Therefore, GCD of numbers 395, 920, 52, 805 is 1

Given Input Data is 395, 920, 52, 805

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 805 is 5 x 7 x 23

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(395, 920) = 72680

GCD(395, 920) = ( 395 x 920 ) / 72680

GCD(395, 920) = 363400 / 72680

GCD(395, 920) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 52

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

LCM(5, 52) = 260

GCD(5, 52) = ( 5 x 52 ) / 260

GCD(5, 52) = 260 / 260

GCD(5, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

GCD of 395, 920, 52, 805 is 1

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1. What is the GCD of 395, 920, 52, 805?

GCD of 395, 920, 52, 805 is 1

2. Where do I get the detailed procedure to find GCD of 395, 920, 52, 805?

You can find a detailed procedure to find GCD of 395, 920, 52, 805 on our page.

3. How to find GCD of 395, 920, 52, 805 on a calculator?

You can find the GCD of 395, 920, 52, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.