GCD of 318, 108, 30, 751 Calculator

Given Input numbers are 318, 108, 30, 751

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 751

List of positive integer divisors of 751 that divides 751 without a remainder.

1, 751

Greatest Common Divisior

We found the divisors of 318, 108, 30, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 108, 30, 751 is 1.

Therefore, GCD of numbers 318, 108, 30, 751 is 1

Given Input Data is 318, 108, 30, 751

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 751 is 751

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(318, 108) = 5724

GCD(318, 108) = ( 318 x 108 ) / 5724

GCD(318, 108) = 34344 / 5724

GCD(318, 108) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 30

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

LCM(6, 30) = 30

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

GCD(6, 30) = 180 / 30

GCD(6, 30) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 751

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

LCM(6, 751) = 4506

GCD(6, 751) = ( 6 x 751 ) / 4506

GCD(6, 751) = 4506 / 4506

GCD(6, 751) = 1

GCD of 318, 108, 30, 751 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 204, 35, 733
• GCD of 927, 134, 22, 545
• GCD of 698, 340, 68, 918
• GCD of 118, 716, 56, 729
• GCD of 658, 210, 82, 527

1. What is the GCD of 318, 108, 30, 751?

GCD of 318, 108, 30, 751 is 1

2. Where do I get the detailed procedure to find GCD of 318, 108, 30, 751?

You can find a detailed procedure to find GCD of 318, 108, 30, 751 on our page.

3. How to find GCD of 318, 108, 30, 751 on a calculator?

You can find the GCD of 318, 108, 30, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.