GCD of 712, 778, 17, 330 Calculator

Given Input numbers are 712, 778, 17, 330

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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

Greatest Common Divisior

We found the divisors of 712, 778, 17, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 778, 17, 330 is 1.

Therefore, GCD of numbers 712, 778, 17, 330 is 1

Given Input Data is 712, 778, 17, 330

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 778 is 2 x 389

Prime Factorization of 17 is 17

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

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(712, 778) = 276968

GCD(712, 778) = ( 712 x 778 ) / 276968

GCD(712, 778) = 553936 / 276968

GCD(712, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 712, 778, 17, 330 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 211, 26, 623
• GCD of 391, 349, 57, 117
• GCD of 112, 998, 25, 359
• GCD of 177, 383, 41, 838
• GCD of 632, 380, 49, 638

1. What is the GCD of 712, 778, 17, 330?

GCD of 712, 778, 17, 330 is 1

2. Where do I get the detailed procedure to find GCD of 712, 778, 17, 330?

You can find a detailed procedure to find GCD of 712, 778, 17, 330 on our page.

3. How to find GCD of 712, 778, 17, 330 on a calculator?

You can find the GCD of 712, 778, 17, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.