GCD of 345, 664, 856 Calculator

Given Input numbers are 345, 664, 856

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 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 345, 664, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 664, 856 is 1.

Therefore, GCD of numbers 345, 664, 856 is 1

Given Input Data is 345, 664, 856

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 664 is 2 x 2 x 2 x 83

Prime Factorization of 856 is 2 x 2 x 2 x 107

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, 664) = 229080

GCD(345, 664) = ( 345 x 664 ) / 229080

GCD(345, 664) = 229080 / 229080

GCD(345, 664) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 345, 664, 856 is 1

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1. What is the GCD of 345, 664, 856?

GCD of 345, 664, 856 is 1

2. Where do I get the detailed procedure to find GCD of 345, 664, 856?

You can find a detailed procedure to find GCD of 345, 664, 856 on our page.

3. How to find GCD of 345, 664, 856 on a calculator?

You can find the GCD of 345, 664, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.