GCD of 217, 798, 89, 633 Calculator

Given Input numbers are 217, 798, 89, 633

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 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 217, 798, 89, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 798, 89, 633 is 1.

Therefore, GCD of numbers 217, 798, 89, 633 is 1

Given Input Data is 217, 798, 89, 633

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 89 is 89

Prime Factorization of 633 is 3 x 211

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, 798) = 24738

GCD(217, 798) = ( 217 x 798 ) / 24738

GCD(217, 798) = 173166 / 24738

GCD(217, 798) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 89

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

LCM(7, 89) = 623

GCD(7, 89) = ( 7 x 89 ) / 623

GCD(7, 89) = 623 / 623

GCD(7, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

GCD of 217, 798, 89, 633 is 1

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1. What is the GCD of 217, 798, 89, 633?

GCD of 217, 798, 89, 633 is 1

2. Where do I get the detailed procedure to find GCD of 217, 798, 89, 633?

You can find a detailed procedure to find GCD of 217, 798, 89, 633 on our page.

3. How to find GCD of 217, 798, 89, 633 on a calculator?

You can find the GCD of 217, 798, 89, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.