GCD of 89, 219, 398, 104 Calculator

Given Input numbers are 89, 219, 398, 104

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

Divisors of 89

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

1, 89

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 89, 219, 398, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 219, 398, 104 is 1.

Therefore, GCD of numbers 89, 219, 398, 104 is 1

Given Input Data is 89, 219, 398, 104

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

Prime Factorization of 89 is 89

Prime Factorization of 219 is 3 x 73

Prime Factorization of 398 is 2 x 199

Prime Factorization of 104 is 2 x 2 x 2 x 13

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(89, 219) = 19491

GCD(89, 219) = ( 89 x 219 ) / 19491

GCD(89, 219) = 19491 / 19491

GCD(89, 219) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 89, 219, 398, 104 is 1

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1. What is the GCD of 89, 219, 398, 104?

GCD of 89, 219, 398, 104 is 1

2. Where do I get the detailed procedure to find GCD of 89, 219, 398, 104?

You can find a detailed procedure to find GCD of 89, 219, 398, 104 on our page.

3. How to find GCD of 89, 219, 398, 104 on a calculator?

You can find the GCD of 89, 219, 398, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.