GCD of 318, 404, 56, 107 Calculator

Given Input numbers are 318, 404, 56, 107

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 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 318, 404, 56, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 404, 56, 107 is 1.

Therefore, GCD of numbers 318, 404, 56, 107 is 1

Given Input Data is 318, 404, 56, 107

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 404 is 2 x 2 x 101

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 107 is 107

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, 404) = 64236

GCD(318, 404) = ( 318 x 404 ) / 64236

GCD(318, 404) = 128472 / 64236

GCD(318, 404) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 107

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

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

GCD(2, 107) = 214 / 214

GCD(2, 107) = 1

GCD of 318, 404, 56, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 219, 68, 901
• GCD of 145, 334, 46, 937
• GCD of 599, 615, 68, 248
• GCD of 244, 691, 92, 839
• GCD of 116, 686, 47, 142

1. What is the GCD of 318, 404, 56, 107?

GCD of 318, 404, 56, 107 is 1

2. Where do I get the detailed procedure to find GCD of 318, 404, 56, 107?

You can find a detailed procedure to find GCD of 318, 404, 56, 107 on our page.

3. How to find GCD of 318, 404, 56, 107 on a calculator?

You can find the GCD of 318, 404, 56, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.