GCD of 98, 289, 872, 106 Calculator

Given Input numbers are 98, 289, 872, 106

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 98, 289, 872, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 289, 872, 106 is 1.

Therefore, GCD of numbers 98, 289, 872, 106 is 1

Given Input Data is 98, 289, 872, 106

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 289 is 17 x 17

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 106 is 2 x 53

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(98, 289) = 28322

GCD(98, 289) = ( 98 x 289 ) / 28322

GCD(98, 289) = 28322 / 28322

GCD(98, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 98, 289, 872, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 691, 839, 281
• GCD of 71, 955, 789, 882
• GCD of 41, 186, 737, 860
• GCD of 36, 189, 147, 342
• GCD of 53, 262, 772, 961

1. What is the GCD of 98, 289, 872, 106?

GCD of 98, 289, 872, 106 is 1

2. Where do I get the detailed procedure to find GCD of 98, 289, 872, 106?

You can find a detailed procedure to find GCD of 98, 289, 872, 106 on our page.

3. How to find GCD of 98, 289, 872, 106 on a calculator?

You can find the GCD of 98, 289, 872, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.