GCD of 108, 898, 19, 721 Calculator

Given Input numbers are 108, 898, 19, 721

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 898

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

1, 2, 449, 898

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 108, 898, 19, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 898, 19, 721 is 1.

Therefore, GCD of numbers 108, 898, 19, 721 is 1

Given Input Data is 108, 898, 19, 721

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 898 is 2 x 449

Prime Factorization of 19 is 19

Prime Factorization of 721 is 7 x 103

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(108, 898) = 48492

GCD(108, 898) = ( 108 x 898 ) / 48492

GCD(108, 898) = 96984 / 48492

GCD(108, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 108, 898, 19, 721 is 1

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1. What is the GCD of 108, 898, 19, 721?

GCD of 108, 898, 19, 721 is 1

2. Where do I get the detailed procedure to find GCD of 108, 898, 19, 721?

You can find a detailed procedure to find GCD of 108, 898, 19, 721 on our page.

3. How to find GCD of 108, 898, 19, 721 on a calculator?

You can find the GCD of 108, 898, 19, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.