GCD of 449, 520, 966, 221 Calculator

Given Input numbers are 449, 520, 966, 221

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

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 449, 520, 966, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 520, 966, 221 is 1.

Therefore, GCD of numbers 449, 520, 966, 221 is 1

Given Input Data is 449, 520, 966, 221

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

Prime Factorization of 449 is 449

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(449, 520) = 233480

GCD(449, 520) = ( 449 x 520 ) / 233480

GCD(449, 520) = 233480 / 233480

GCD(449, 520) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 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 449, 520, 966, 221 is 1

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1. What is the GCD of 449, 520, 966, 221?

GCD of 449, 520, 966, 221 is 1

2. Where do I get the detailed procedure to find GCD of 449, 520, 966, 221?

You can find a detailed procedure to find GCD of 449, 520, 966, 221 on our page.

3. How to find GCD of 449, 520, 966, 221 on a calculator?

You can find the GCD of 449, 520, 966, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.