GCD of 217, 392, 243, 298 Calculator

Given Input numbers are 217, 392, 243, 298

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 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 243

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

1, 3, 9, 27, 81, 243

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 217, 392, 243, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 392, 243, 298 is 1.

Therefore, GCD of numbers 217, 392, 243, 298 is 1

Given Input Data is 217, 392, 243, 298

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 298 is 2 x 149

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, 392) = 12152

GCD(217, 392) = ( 217 x 392 ) / 12152

GCD(217, 392) = 85064 / 12152

GCD(217, 392) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 243

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

LCM(7, 243) = 1701

GCD(7, 243) = ( 7 x 243 ) / 1701

GCD(7, 243) = 1701 / 1701

GCD(7, 243) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 217, 392, 243, 298 is 1

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1. What is the GCD of 217, 392, 243, 298?

GCD of 217, 392, 243, 298 is 1

2. Where do I get the detailed procedure to find GCD of 217, 392, 243, 298?

You can find a detailed procedure to find GCD of 217, 392, 243, 298 on our page.

3. How to find GCD of 217, 392, 243, 298 on a calculator?

You can find the GCD of 217, 392, 243, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.