GCD of 490, 518, 221, 133 Calculator

Given Input numbers are 490, 518, 221, 133

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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 221

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

1, 13, 17, 221

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 490, 518, 221, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 518, 221, 133 is 1.

Therefore, GCD of numbers 490, 518, 221, 133 is 1

Given Input Data is 490, 518, 221, 133

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 221 is 13 x 17

Prime Factorization of 133 is 7 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(490, 518) = 18130

GCD(490, 518) = ( 490 x 518 ) / 18130

GCD(490, 518) = 253820 / 18130

GCD(490, 518) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 221

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

LCM(14, 221) = 3094

GCD(14, 221) = ( 14 x 221 ) / 3094

GCD(14, 221) = 3094 / 3094

GCD(14, 221) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 490, 518, 221, 133 is 1

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1. What is the GCD of 490, 518, 221, 133?

GCD of 490, 518, 221, 133 is 1

2. Where do I get the detailed procedure to find GCD of 490, 518, 221, 133?

You can find a detailed procedure to find GCD of 490, 518, 221, 133 on our page.

3. How to find GCD of 490, 518, 221, 133 on a calculator?

You can find the GCD of 490, 518, 221, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.