GCD of 333, 680, 114 Calculator

Given Input numbers are 333, 680, 114

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

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 333, 680, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 680, 114 is 1.

Therefore, GCD of numbers 333, 680, 114 is 1

Given Input Data is 333, 680, 114

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

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 114 is 2 x 3 x 19

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(333, 680) = 226440

GCD(333, 680) = ( 333 x 680 ) / 226440

GCD(333, 680) = 226440 / 226440

GCD(333, 680) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 333, 680, 114 is 1

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1. What is the GCD of 333, 680, 114?

GCD of 333, 680, 114 is 1

2. Where do I get the detailed procedure to find GCD of 333, 680, 114?

You can find a detailed procedure to find GCD of 333, 680, 114 on our page.

3. How to find GCD of 333, 680, 114 on a calculator?

You can find the GCD of 333, 680, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.