GCD of 42, 348, 339, 179 Calculator

Given Input numbers are 42, 348, 339, 179

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

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 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 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Greatest Common Divisior

We found the divisors of 42, 348, 339, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 348, 339, 179 is 1.

Therefore, GCD of numbers 42, 348, 339, 179 is 1

Given Input Data is 42, 348, 339, 179

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

Prime Factorization of 42 is 2 x 3 x 7

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

Prime Factorization of 339 is 3 x 113

Prime Factorization of 179 is 179

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(42, 348) = 2436

GCD(42, 348) = ( 42 x 348 ) / 2436

GCD(42, 348) = 14616 / 2436

GCD(42, 348) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 339

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

LCM(6, 339) = 678

GCD(6, 339) = ( 6 x 339 ) / 678

GCD(6, 339) = 2034 / 678

GCD(6, 339) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 179

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

LCM(3, 179) = 537

GCD(3, 179) = ( 3 x 179 ) / 537

GCD(3, 179) = 537 / 537

GCD(3, 179) = 1

GCD of 42, 348, 339, 179 is 1

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• GCD of 62, 449, 106, 469
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1. What is the GCD of 42, 348, 339, 179?

GCD of 42, 348, 339, 179 is 1

2. Where do I get the detailed procedure to find GCD of 42, 348, 339, 179?

You can find a detailed procedure to find GCD of 42, 348, 339, 179 on our page.

3. How to find GCD of 42, 348, 339, 179 on a calculator?

You can find the GCD of 42, 348, 339, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.