GCD of 682, 198, 462 Calculator

Given Input numbers are 682, 198, 462

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 682, 198, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 198, 462 is 22.

Therefore, GCD of numbers 682, 198, 462 is 22

Given Input Data is 682, 198, 462

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

Prime Factorization of 682 is 2 x 11 x 31

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Highest common occurrences in the given inputs are 11¹ x 2¹

Multiplying them we get the GCD as 22

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(682, 198) = 6138

GCD(682, 198) = ( 682 x 198 ) / 6138

GCD(682, 198) = 135036 / 6138

GCD(682, 198) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 462

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

LCM(22, 462) = 462

GCD(22, 462) = ( 22 x 462 ) / 462

GCD(22, 462) = 10164 / 462

GCD(22, 462) = 22

GCD of 682, 198, 462 is 22

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 596, 967
• GCD of 706, 801, 702
• GCD of 211, 521, 746
• GCD of 789, 922, 718
• GCD of 855, 180, 430

1. What is the GCD of 682, 198, 462?

GCD of 682, 198, 462 is 22

2. Where do I get the detailed procedure to find GCD of 682, 198, 462?

You can find a detailed procedure to find GCD of 682, 198, 462 on our page.

3. How to find GCD of 682, 198, 462 on a calculator?

You can find the GCD of 682, 198, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.