GCD of 505, 377, 218, 394 Calculator

Given Input numbers are 505, 377, 218, 394

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 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 505, 377, 218, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 377, 218, 394 is 1.

Therefore, GCD of numbers 505, 377, 218, 394 is 1

Given Input Data is 505, 377, 218, 394

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 377 is 13 x 29

Prime Factorization of 218 is 2 x 109

Prime Factorization of 394 is 2 x 197

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, 377) = 190385

GCD(505, 377) = ( 505 x 377 ) / 190385

GCD(505, 377) = 190385 / 190385

GCD(505, 377) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

GCD of 505, 377, 218, 394 is 1

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1. What is the GCD of 505, 377, 218, 394?

GCD of 505, 377, 218, 394 is 1

2. Where do I get the detailed procedure to find GCD of 505, 377, 218, 394?

You can find a detailed procedure to find GCD of 505, 377, 218, 394 on our page.

3. How to find GCD of 505, 377, 218, 394 on a calculator?

You can find the GCD of 505, 377, 218, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.