GCD of 505, 310, 83, 361 Calculator

Given Input numbers are 505, 310, 83, 361

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

Divisors of 505

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

1, 5, 101, 505

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 361

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

1, 19, 361

Greatest Common Divisior

We found the divisors of 505, 310, 83, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 310, 83, 361 is 1.

Therefore, GCD of numbers 505, 310, 83, 361 is 1

Given Input Data is 505, 310, 83, 361

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 83 is 83

Prime Factorization of 361 is 19 x 19

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(505, 310) = 31310

GCD(505, 310) = ( 505 x 310 ) / 31310

GCD(505, 310) = 156550 / 31310

GCD(505, 310) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 83

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

LCM(5, 83) = 415

GCD(5, 83) = ( 5 x 83 ) / 415

GCD(5, 83) = 415 / 415

GCD(5, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 505, 310, 83, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 651, 83, 821
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• GCD of 958, 121, 85, 377

1. What is the GCD of 505, 310, 83, 361?

GCD of 505, 310, 83, 361 is 1

2. Where do I get the detailed procedure to find GCD of 505, 310, 83, 361?

You can find a detailed procedure to find GCD of 505, 310, 83, 361 on our page.

3. How to find GCD of 505, 310, 83, 361 on a calculator?

You can find the GCD of 505, 310, 83, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.