GCD of 395, 696, 905 Calculator

Given Input numbers are 395, 696, 905

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 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 395, 696, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 696, 905 is 1.

Therefore, GCD of numbers 395, 696, 905 is 1

Given Input Data is 395, 696, 905

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 905 is 5 x 181

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, 696) = 274920

GCD(395, 696) = ( 395 x 696 ) / 274920

GCD(395, 696) = 274920 / 274920

GCD(395, 696) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

GCD of 395, 696, 905 is 1

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1. What is the GCD of 395, 696, 905?

GCD of 395, 696, 905 is 1

2. Where do I get the detailed procedure to find GCD of 395, 696, 905?

You can find a detailed procedure to find GCD of 395, 696, 905 on our page.

3. How to find GCD of 395, 696, 905 on a calculator?

You can find the GCD of 395, 696, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.