GCD of 349, 505, 413, 501 Calculator

Given Input numbers are 349, 505, 413, 501

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 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 349, 505, 413, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 505, 413, 501 is 1.

Therefore, GCD of numbers 349, 505, 413, 501 is 1

Given Input Data is 349, 505, 413, 501

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

Prime Factorization of 349 is 349

Prime Factorization of 505 is 5 x 101

Prime Factorization of 413 is 7 x 59

Prime Factorization of 501 is 3 x 167

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, 505) = 176245

GCD(349, 505) = ( 349 x 505 ) / 176245

GCD(349, 505) = 176245 / 176245

GCD(349, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 349, 505, 413, 501 is 1

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1. What is the GCD of 349, 505, 413, 501?

GCD of 349, 505, 413, 501 is 1

2. Where do I get the detailed procedure to find GCD of 349, 505, 413, 501?

You can find a detailed procedure to find GCD of 349, 505, 413, 501 on our page.

3. How to find GCD of 349, 505, 413, 501 on a calculator?

You can find the GCD of 349, 505, 413, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.