GCD of 814, 306, 18, 947 Calculator

Given Input numbers are 814, 306, 18, 947

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 814, 306, 18, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 306, 18, 947 is 1.

Therefore, GCD of numbers 814, 306, 18, 947 is 1

Given Input Data is 814, 306, 18, 947

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 947 is 947

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(814, 306) = 124542

GCD(814, 306) = ( 814 x 306 ) / 124542

GCD(814, 306) = 249084 / 124542

GCD(814, 306) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 947

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

LCM(2, 947) = 1894

GCD(2, 947) = ( 2 x 947 ) / 1894

GCD(2, 947) = 1894 / 1894

GCD(2, 947) = 1

GCD of 814, 306, 18, 947 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 857, 12, 802
• GCD of 700, 383, 72, 599
• GCD of 914, 280, 74, 224
• GCD of 605, 160, 44, 507
• GCD of 260, 634, 89, 889

1. What is the GCD of 814, 306, 18, 947?

GCD of 814, 306, 18, 947 is 1

2. Where do I get the detailed procedure to find GCD of 814, 306, 18, 947?

You can find a detailed procedure to find GCD of 814, 306, 18, 947 on our page.

3. How to find GCD of 814, 306, 18, 947 on a calculator?

You can find the GCD of 814, 306, 18, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.