GCD of 634, 682, 243, 221 Calculator

Given Input numbers are 634, 682, 243, 221

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

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 634, 682, 243, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 682, 243, 221 is 1.

Therefore, GCD of numbers 634, 682, 243, 221 is 1

Given Input Data is 634, 682, 243, 221

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 243 is 3 x 3 x 3 x 3 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(634, 682) = 216194

GCD(634, 682) = ( 634 x 682 ) / 216194

GCD(634, 682) = 432388 / 216194

GCD(634, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 243

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

LCM(2, 243) = 486

GCD(2, 243) = ( 2 x 243 ) / 486

GCD(2, 243) = 486 / 486

GCD(2, 243) = 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 634, 682, 243, 221 is 1

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1. What is the GCD of 634, 682, 243, 221?

GCD of 634, 682, 243, 221 is 1

2. Where do I get the detailed procedure to find GCD of 634, 682, 243, 221?

You can find a detailed procedure to find GCD of 634, 682, 243, 221 on our page.

3. How to find GCD of 634, 682, 243, 221 on a calculator?

You can find the GCD of 634, 682, 243, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.