GCD of 834, 195, 189 Calculator

Given Input numbers are 834, 195, 189

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 834, 195, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 195, 189 is 3.

Therefore, GCD of numbers 834, 195, 189 is 3

Given Input Data is 834, 195, 189

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 189 is 3 x 3 x 3 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(834, 195) = 54210

GCD(834, 195) = ( 834 x 195 ) / 54210

GCD(834, 195) = 162630 / 54210

GCD(834, 195) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 189

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

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

GCD(3, 189) = 567 / 189

GCD(3, 189) = 3

GCD of 834, 195, 189 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 161, 253
• GCD of 684, 234, 857
• GCD of 346, 571, 698
• GCD of 720, 550, 741
• GCD of 737, 336, 418

1. What is the GCD of 834, 195, 189?

GCD of 834, 195, 189 is 3

2. Where do I get the detailed procedure to find GCD of 834, 195, 189?

You can find a detailed procedure to find GCD of 834, 195, 189 on our page.

3. How to find GCD of 834, 195, 189 on a calculator?

You can find the GCD of 834, 195, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.