GCD of 460, 414, 566, 221 Calculator

Given Input numbers are 460, 414, 566, 221

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

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 460, 414, 566, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 414, 566, 221 is 1.

Therefore, GCD of numbers 460, 414, 566, 221 is 1

Given Input Data is 460, 414, 566, 221

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 566 is 2 x 283

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(460, 414) = 4140

GCD(460, 414) = ( 460 x 414 ) / 4140

GCD(460, 414) = 190440 / 4140

GCD(460, 414) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 566

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

LCM(46, 566) = 13018

GCD(46, 566) = ( 46 x 566 ) / 13018

GCD(46, 566) = 26036 / 13018

GCD(46, 566) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 221

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

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

GCD(2, 221) = 442 / 442

GCD(2, 221) = 1

GCD of 460, 414, 566, 221 is 1

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1. What is the GCD of 460, 414, 566, 221?

GCD of 460, 414, 566, 221 is 1

2. Where do I get the detailed procedure to find GCD of 460, 414, 566, 221?

You can find a detailed procedure to find GCD of 460, 414, 566, 221 on our page.

3. How to find GCD of 460, 414, 566, 221 on a calculator?

You can find the GCD of 460, 414, 566, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.