GCD of 444, 687, 318, 353 Calculator

Given Input numbers are 444, 687, 318, 353

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

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

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 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 444, 687, 318, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 687, 318, 353 is 1.

Therefore, GCD of numbers 444, 687, 318, 353 is 1

Given Input Data is 444, 687, 318, 353

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 687 is 3 x 229

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 353 is 353

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(444, 687) = 101676

GCD(444, 687) = ( 444 x 687 ) / 101676

GCD(444, 687) = 305028 / 101676

GCD(444, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 318

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

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

GCD(3, 318) = 954 / 318

GCD(3, 318) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 353

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

LCM(3, 353) = 1059

GCD(3, 353) = ( 3 x 353 ) / 1059

GCD(3, 353) = 1059 / 1059

GCD(3, 353) = 1

GCD of 444, 687, 318, 353 is 1

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1. What is the GCD of 444, 687, 318, 353?

GCD of 444, 687, 318, 353 is 1

2. Where do I get the detailed procedure to find GCD of 444, 687, 318, 353?

You can find a detailed procedure to find GCD of 444, 687, 318, 353 on our page.

3. How to find GCD of 444, 687, 318, 353 on a calculator?

You can find the GCD of 444, 687, 318, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.