GCD of 362, 109, 663, 304 Calculator

Given Input numbers are 362, 109, 663, 304

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 362, 109, 663, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 109, 663, 304 is 1.

Therefore, GCD of numbers 362, 109, 663, 304 is 1

Given Input Data is 362, 109, 663, 304

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 109 is 109

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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(362, 109) = 39458

GCD(362, 109) = ( 362 x 109 ) / 39458

GCD(362, 109) = 39458 / 39458

GCD(362, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 362, 109, 663, 304 is 1

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1. What is the GCD of 362, 109, 663, 304?

GCD of 362, 109, 663, 304 is 1

2. Where do I get the detailed procedure to find GCD of 362, 109, 663, 304?

You can find a detailed procedure to find GCD of 362, 109, 663, 304 on our page.

3. How to find GCD of 362, 109, 663, 304 on a calculator?

You can find the GCD of 362, 109, 663, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.