GCD of 281, 116, 345 Calculator

Given Input numbers are 281, 116, 345

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

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 345

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

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

Greatest Common Divisior

We found the divisors of 281, 116, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 281, 116, 345 is 1.

Therefore, GCD of numbers 281, 116, 345 is 1

Given Input Data is 281, 116, 345

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

Prime Factorization of 281 is 281

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 345 is 3 x 5 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(281, 116) = 32596

GCD(281, 116) = ( 281 x 116 ) / 32596

GCD(281, 116) = 32596 / 32596

GCD(281, 116) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 281, 116, 345 is 1

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1. What is the GCD of 281, 116, 345?

GCD of 281, 116, 345 is 1

2. Where do I get the detailed procedure to find GCD of 281, 116, 345?

You can find a detailed procedure to find GCD of 281, 116, 345 on our page.

3. How to find GCD of 281, 116, 345 on a calculator?

You can find the GCD of 281, 116, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.