GCD of 355, 897, 309 Calculator

Given Input numbers are 355, 897, 309

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 355, 897, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 897, 309 is 1.

Therefore, GCD of numbers 355, 897, 309 is 1

Given Input Data is 355, 897, 309

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 309 is 3 x 103

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(355, 897) = 318435

GCD(355, 897) = ( 355 x 897 ) / 318435

GCD(355, 897) = 318435 / 318435

GCD(355, 897) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 355, 897, 309 is 1

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1. What is the GCD of 355, 897, 309?

GCD of 355, 897, 309 is 1

2. Where do I get the detailed procedure to find GCD of 355, 897, 309?

You can find a detailed procedure to find GCD of 355, 897, 309 on our page.

3. How to find GCD of 355, 897, 309 on a calculator?

You can find the GCD of 355, 897, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.