GCD of 817, 314, 330, 960 Calculator

Given Input numbers are 817, 314, 330, 960

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

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 817, 314, 330, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 817, 314, 330, 960 is 1.

Therefore, GCD of numbers 817, 314, 330, 960 is 1

Given Input Data is 817, 314, 330, 960

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

Prime Factorization of 817 is 19 x 43

Prime Factorization of 314 is 2 x 157

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(817, 314) = 256538

GCD(817, 314) = ( 817 x 314 ) / 256538

GCD(817, 314) = 256538 / 256538

GCD(817, 314) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 817, 314, 330, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 561, 928, 287
• GCD of 743, 311, 686, 639
• GCD of 178, 296, 736, 416
• GCD of 386, 880, 457, 987
• GCD of 116, 591, 571, 537

1. What is the GCD of 817, 314, 330, 960?

GCD of 817, 314, 330, 960 is 1

2. Where do I get the detailed procedure to find GCD of 817, 314, 330, 960?

You can find a detailed procedure to find GCD of 817, 314, 330, 960 on our page.

3. How to find GCD of 817, 314, 330, 960 on a calculator?

You can find the GCD of 817, 314, 330, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.