GCD of 41, 361, 279, 349 Calculator

Given Input numbers are 41, 361, 279, 349

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

Divisors of 41

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

1, 41

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 349

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

1, 349

Greatest Common Divisior

We found the divisors of 41, 361, 279, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 361, 279, 349 is 1.

Therefore, GCD of numbers 41, 361, 279, 349 is 1

Given Input Data is 41, 361, 279, 349

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

Prime Factorization of 41 is 41

Prime Factorization of 361 is 19 x 19

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 349 is 349

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(41, 361) = 14801

GCD(41, 361) = ( 41 x 361 ) / 14801

GCD(41, 361) = 14801 / 14801

GCD(41, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 41, 361, 279, 349 is 1

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1. What is the GCD of 41, 361, 279, 349?

GCD of 41, 361, 279, 349 is 1

2. Where do I get the detailed procedure to find GCD of 41, 361, 279, 349?

You can find a detailed procedure to find GCD of 41, 361, 279, 349 on our page.

3. How to find GCD of 41, 361, 279, 349 on a calculator?

You can find the GCD of 41, 361, 279, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.