GCD of 221, 518, 793, 505 Calculator

Given Input numbers are 221, 518, 793, 505

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Divisors of 505

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

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 221, 518, 793, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 518, 793, 505 is 1.

Therefore, GCD of numbers 221, 518, 793, 505 is 1

Given Input Data is 221, 518, 793, 505

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 793 is 13 x 61

Prime Factorization of 505 is 5 x 101

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(221, 518) = 114478

GCD(221, 518) = ( 221 x 518 ) / 114478

GCD(221, 518) = 114478 / 114478

GCD(221, 518) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 793

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

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

GCD(1, 793) = 793 / 793

GCD(1, 793) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 221, 518, 793, 505 is 1

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1. What is the GCD of 221, 518, 793, 505?

GCD of 221, 518, 793, 505 is 1

2. Where do I get the detailed procedure to find GCD of 221, 518, 793, 505?

You can find a detailed procedure to find GCD of 221, 518, 793, 505 on our page.

3. How to find GCD of 221, 518, 793, 505 on a calculator?

You can find the GCD of 221, 518, 793, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.