GCD of 349, 339, 31, 176 Calculator

Given Input numbers are 349, 339, 31, 176

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 339

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

1, 3, 113, 339

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

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

Greatest Common Divisior

We found the divisors of 349, 339, 31, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 339, 31, 176 is 1.

Therefore, GCD of numbers 349, 339, 31, 176 is 1

Given Input Data is 349, 339, 31, 176

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

Prime Factorization of 349 is 349

Prime Factorization of 339 is 3 x 113

Prime Factorization of 31 is 31

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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(349, 339) = 118311

GCD(349, 339) = ( 349 x 339 ) / 118311

GCD(349, 339) = 118311 / 118311

GCD(349, 339) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 349, 339, 31, 176 is 1

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1. What is the GCD of 349, 339, 31, 176?

GCD of 349, 339, 31, 176 is 1

2. Where do I get the detailed procedure to find GCD of 349, 339, 31, 176?

You can find a detailed procedure to find GCD of 349, 339, 31, 176 on our page.

3. How to find GCD of 349, 339, 31, 176 on a calculator?

You can find the GCD of 349, 339, 31, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.