GCD of 217, 221, 898 Calculator

Given Input numbers are 217, 221, 898

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 221

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

1, 13, 17, 221

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 217, 221, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 221, 898 is 1.

Therefore, GCD of numbers 217, 221, 898 is 1

Given Input Data is 217, 221, 898

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 221 is 13 x 17

Prime Factorization of 898 is 2 x 449

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, 221) = 47957

GCD(217, 221) = ( 217 x 221 ) / 47957

GCD(217, 221) = 47957 / 47957

GCD(217, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 217, 221, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 450, 523
• GCD of 988, 380, 490
• GCD of 540, 535, 151
• GCD of 947, 721, 712
• GCD of 512, 203, 170

1. What is the GCD of 217, 221, 898?

GCD of 217, 221, 898 is 1

2. Where do I get the detailed procedure to find GCD of 217, 221, 898?

You can find a detailed procedure to find GCD of 217, 221, 898 on our page.

3. How to find GCD of 217, 221, 898 on a calculator?

You can find the GCD of 217, 221, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.