GCD of 348, 684, 42, 289 Calculator

Given Input numbers are 348, 684, 42, 289

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 348, 684, 42, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 684, 42, 289 is 1.

Therefore, GCD of numbers 348, 684, 42, 289 is 1

Given Input Data is 348, 684, 42, 289

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 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 289 is 17 x 17

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, 684) = 19836

GCD(348, 684) = ( 348 x 684 ) / 19836

GCD(348, 684) = 238032 / 19836

GCD(348, 684) = 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 289

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

LCM(6, 289) = 1734

GCD(6, 289) = ( 6 x 289 ) / 1734

GCD(6, 289) = 1734 / 1734

GCD(6, 289) = 1

GCD of 348, 684, 42, 289 is 1

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1. What is the GCD of 348, 684, 42, 289?

GCD of 348, 684, 42, 289 is 1

2. Where do I get the detailed procedure to find GCD of 348, 684, 42, 289?

You can find a detailed procedure to find GCD of 348, 684, 42, 289 on our page.

3. How to find GCD of 348, 684, 42, 289 on a calculator?

You can find the GCD of 348, 684, 42, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.