GCD of 304, 352, 41, 342 Calculator

Given Input numbers are 304, 352, 41, 342

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

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 304, 352, 41, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 352, 41, 342 is 1.

Therefore, GCD of numbers 304, 352, 41, 342 is 1

Given Input Data is 304, 352, 41, 342

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

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 41 is 41

Prime Factorization of 342 is 2 x 3 x 3 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(304, 352) = 6688

GCD(304, 352) = ( 304 x 352 ) / 6688

GCD(304, 352) = 107008 / 6688

GCD(304, 352) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 41

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

LCM(16, 41) = 656

GCD(16, 41) = ( 16 x 41 ) / 656

GCD(16, 41) = 656 / 656

GCD(16, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 304, 352, 41, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 556, 17, 310
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• GCD of 933, 679, 49, 787
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1. What is the GCD of 304, 352, 41, 342?

GCD of 304, 352, 41, 342 is 1

2. Where do I get the detailed procedure to find GCD of 304, 352, 41, 342?

You can find a detailed procedure to find GCD of 304, 352, 41, 342 on our page.

3. How to find GCD of 304, 352, 41, 342 on a calculator?

You can find the GCD of 304, 352, 41, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.