GCD of 105, 117, 290, 898 Calculator

Given Input numbers are 105, 117, 290, 898

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

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 105, 117, 290, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 117, 290, 898 is 1.

Therefore, GCD of numbers 105, 117, 290, 898 is 1

Given Input Data is 105, 117, 290, 898

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 290 is 2 x 5 x 29

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(105, 117) = 4095

GCD(105, 117) = ( 105 x 117 ) / 4095

GCD(105, 117) = 12285 / 4095

GCD(105, 117) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 290

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

LCM(3, 290) = 870

GCD(3, 290) = ( 3 x 290 ) / 870

GCD(3, 290) = 870 / 870

GCD(3, 290) = 1

Step3:

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 105, 117, 290, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 828, 258, 851
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• GCD of 294, 533, 467, 155

1. What is the GCD of 105, 117, 290, 898?

GCD of 105, 117, 290, 898 is 1

2. Where do I get the detailed procedure to find GCD of 105, 117, 290, 898?

You can find a detailed procedure to find GCD of 105, 117, 290, 898 on our page.

3. How to find GCD of 105, 117, 290, 898 on a calculator?

You can find the GCD of 105, 117, 290, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.