GCD of 221, 194, 678 Calculator

Given Input numbers are 221, 194, 678

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

Divisors of 221

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

1, 13, 17, 221

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 221, 194, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 194, 678 is 1.

Therefore, GCD of numbers 221, 194, 678 is 1

Given Input Data is 221, 194, 678

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 194 is 2 x 97

Prime Factorization of 678 is 2 x 3 x 113

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(221, 194) = 42874

GCD(221, 194) = ( 221 x 194 ) / 42874

GCD(221, 194) = 42874 / 42874

GCD(221, 194) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 221, 194, 678 is 1

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1. What is the GCD of 221, 194, 678?

GCD of 221, 194, 678 is 1

2. Where do I get the detailed procedure to find GCD of 221, 194, 678?

You can find a detailed procedure to find GCD of 221, 194, 678 on our page.

3. How to find GCD of 221, 194, 678 on a calculator?

You can find the GCD of 221, 194, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.