GCD of 150, 333, 686 Calculator

Given Input numbers are 150, 333, 686

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 333

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

1, 3, 9, 37, 111, 333

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 150, 333, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 333, 686 is 1.

Therefore, GCD of numbers 150, 333, 686 is 1

Given Input Data is 150, 333, 686

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(150, 333) = 16650

GCD(150, 333) = ( 150 x 333 ) / 16650

GCD(150, 333) = 49950 / 16650

GCD(150, 333) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 686

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

LCM(3, 686) = 2058

GCD(3, 686) = ( 3 x 686 ) / 2058

GCD(3, 686) = 2058 / 2058

GCD(3, 686) = 1

GCD of 150, 333, 686 is 1

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1. What is the GCD of 150, 333, 686?

GCD of 150, 333, 686 is 1

2. Where do I get the detailed procedure to find GCD of 150, 333, 686?

You can find a detailed procedure to find GCD of 150, 333, 686 on our page.

3. How to find GCD of 150, 333, 686 on a calculator?

You can find the GCD of 150, 333, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.