GCD of 109, 852, 398 Calculator

Given Input numbers are 109, 852, 398

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 398

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

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 109, 852, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 852, 398 is 1.

Therefore, GCD of numbers 109, 852, 398 is 1

Given Input Data is 109, 852, 398

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

Prime Factorization of 109 is 109

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 398 is 2 x 199

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(109, 852) = 92868

GCD(109, 852) = ( 109 x 852 ) / 92868

GCD(109, 852) = 92868 / 92868

GCD(109, 852) = 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

GCD of 109, 852, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 578, 573
• GCD of 804, 461, 550
• GCD of 277, 636, 324
• GCD of 295, 273, 921
• GCD of 977, 573, 764

1. What is the GCD of 109, 852, 398?

GCD of 109, 852, 398 is 1

2. Where do I get the detailed procedure to find GCD of 109, 852, 398?

You can find a detailed procedure to find GCD of 109, 852, 398 on our page.

3. How to find GCD of 109, 852, 398 on a calculator?

You can find the GCD of 109, 852, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.