GCD of 348, 804, 42, 367 Calculator

Given Input numbers are 348, 804, 42, 367

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 348, 804, 42, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 804, 42, 367 is 1.

Therefore, GCD of numbers 348, 804, 42, 367 is 1

Given Input Data is 348, 804, 42, 367

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 367 is 367

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(348, 804) = 23316

GCD(348, 804) = ( 348 x 804 ) / 23316

GCD(348, 804) = 279792 / 23316

GCD(348, 804) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 42

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

LCM(12, 42) = 84

GCD(12, 42) = ( 12 x 42 ) / 84

GCD(12, 42) = 504 / 84

GCD(12, 42) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 367

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

LCM(6, 367) = 2202

GCD(6, 367) = ( 6 x 367 ) / 2202

GCD(6, 367) = 2202 / 2202

GCD(6, 367) = 1

GCD of 348, 804, 42, 367 is 1

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• GCD of 701, 187, 64, 824
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1. What is the GCD of 348, 804, 42, 367?

GCD of 348, 804, 42, 367 is 1

2. Where do I get the detailed procedure to find GCD of 348, 804, 42, 367?

You can find a detailed procedure to find GCD of 348, 804, 42, 367 on our page.

3. How to find GCD of 348, 804, 42, 367 on a calculator?

You can find the GCD of 348, 804, 42, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.