GCD of 345, 112, 897 Calculator

Given Input numbers are 345, 112, 897

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 897

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

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

Greatest Common Divisior

We found the divisors of 345, 112, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 112, 897 is 1.

Therefore, GCD of numbers 345, 112, 897 is 1

Given Input Data is 345, 112, 897

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 897 is 3 x 13 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(345, 112) = 38640

GCD(345, 112) = ( 345 x 112 ) / 38640

GCD(345, 112) = 38640 / 38640

GCD(345, 112) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

GCD of 345, 112, 897 is 1

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1. What is the GCD of 345, 112, 897?

GCD of 345, 112, 897 is 1

2. Where do I get the detailed procedure to find GCD of 345, 112, 897?

You can find a detailed procedure to find GCD of 345, 112, 897 on our page.

3. How to find GCD of 345, 112, 897 on a calculator?

You can find the GCD of 345, 112, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.