GCD of 330, 714, 10 Calculator

Given Input numbers are 330, 714, 10

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

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 330, 714, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 714, 10 is 2.

Therefore, GCD of numbers 330, 714, 10 is 2

Given Input Data is 330, 714, 10

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 10 is 2 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(330, 714) = 39270

GCD(330, 714) = ( 330 x 714 ) / 39270

GCD(330, 714) = 235620 / 39270

GCD(330, 714) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 10

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

LCM(6, 10) = 30

GCD(6, 10) = ( 6 x 10 ) / 30

GCD(6, 10) = 60 / 30

GCD(6, 10) = 2

GCD of 330, 714, 10 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 484, 61
• GCD of 754, 788, 78
• GCD of 437, 493, 97
• GCD of 515, 535, 25
• GCD of 491, 409, 49

1. What is the GCD of 330, 714, 10?

GCD of 330, 714, 10 is 2

2. Where do I get the detailed procedure to find GCD of 330, 714, 10?

You can find a detailed procedure to find GCD of 330, 714, 10 on our page.

3. How to find GCD of 330, 714, 10 on a calculator?

You can find the GCD of 330, 714, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.