GCD of 318, 618, 187, 828 Calculator

Given Input numbers are 318, 618, 187, 828

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 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 318, 618, 187, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 618, 187, 828 is 1.

Therefore, GCD of numbers 318, 618, 187, 828 is 1

Given Input Data is 318, 618, 187, 828

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 618 is 2 x 3 x 103

Prime Factorization of 187 is 11 x 17

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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, 618) = 32754

GCD(318, 618) = ( 318 x 618 ) / 32754

GCD(318, 618) = 196524 / 32754

GCD(318, 618) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 187

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

LCM(6, 187) = 1122

GCD(6, 187) = ( 6 x 187 ) / 1122

GCD(6, 187) = 1122 / 1122

GCD(6, 187) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 318, 618, 187, 828 is 1

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1. What is the GCD of 318, 618, 187, 828?

GCD of 318, 618, 187, 828 is 1

2. Where do I get the detailed procedure to find GCD of 318, 618, 187, 828?

You can find a detailed procedure to find GCD of 318, 618, 187, 828 on our page.

3. How to find GCD of 318, 618, 187, 828 on a calculator?

You can find the GCD of 318, 618, 187, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.