GCD of 217, 656, 68, 221 Calculator

Given Input numbers are 217, 656, 68, 221

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

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 217, 656, 68, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 656, 68, 221 is 1.

Therefore, GCD of numbers 217, 656, 68, 221 is 1

Given Input Data is 217, 656, 68, 221

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 68 is 2 x 2 x 17

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(217, 656) = 142352

GCD(217, 656) = ( 217 x 656 ) / 142352

GCD(217, 656) = 142352 / 142352

GCD(217, 656) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 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 217, 656, 68, 221 is 1

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1. What is the GCD of 217, 656, 68, 221?

GCD of 217, 656, 68, 221 is 1

2. Where do I get the detailed procedure to find GCD of 217, 656, 68, 221?

You can find a detailed procedure to find GCD of 217, 656, 68, 221 on our page.

3. How to find GCD of 217, 656, 68, 221 on a calculator?

You can find the GCD of 217, 656, 68, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.