GCD of 503, 493, 48, 221 Calculator

Given Input numbers are 503, 493, 48, 221

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

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 221

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

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 503, 493, 48, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 493, 48, 221 is 1.

Therefore, GCD of numbers 503, 493, 48, 221 is 1

Given Input Data is 503, 493, 48, 221

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

Prime Factorization of 503 is 503

Prime Factorization of 493 is 17 x 29

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 221 is 13 x 17

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(503, 493) = 247979

GCD(503, 493) = ( 503 x 493 ) / 247979

GCD(503, 493) = 247979 / 247979

GCD(503, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 503, 493, 48, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 247, 53, 924
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• GCD of 716, 878, 96, 441
• GCD of 730, 261, 62, 194

1. What is the GCD of 503, 493, 48, 221?

GCD of 503, 493, 48, 221 is 1

2. Where do I get the detailed procedure to find GCD of 503, 493, 48, 221?

You can find a detailed procedure to find GCD of 503, 493, 48, 221 on our page.

3. How to find GCD of 503, 493, 48, 221 on a calculator?

You can find the GCD of 503, 493, 48, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.