GCD of 855, 690, 198 Calculator

Given Input numbers are 855, 690, 198

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 855, 690, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 690, 198 is 3.

Therefore, GCD of numbers 855, 690, 198 is 3

Given Input Data is 855, 690, 198

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(855, 690) = 39330

GCD(855, 690) = ( 855 x 690 ) / 39330

GCD(855, 690) = 589950 / 39330

GCD(855, 690) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 198

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

LCM(15, 198) = 990

GCD(15, 198) = ( 15 x 198 ) / 990

GCD(15, 198) = 2970 / 990

GCD(15, 198) = 3

GCD of 855, 690, 198 is 3

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1. What is the GCD of 855, 690, 198?

GCD of 855, 690, 198 is 3

2. Where do I get the detailed procedure to find GCD of 855, 690, 198?

You can find a detailed procedure to find GCD of 855, 690, 198 on our page.

3. How to find GCD of 855, 690, 198 on a calculator?

You can find the GCD of 855, 690, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.