GCD of 862, 198, 82, 330 Calculator

Given Input numbers are 862, 198, 82, 330

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

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

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 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 862, 198, 82, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 198, 82, 330 is 2.

Therefore, GCD of numbers 862, 198, 82, 330 is 2

Given Input Data is 862, 198, 82, 330

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

Prime Factorization of 862 is 2 x 431

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 330 is 2 x 3 x 5 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(862, 198) = 85338

GCD(862, 198) = ( 862 x 198 ) / 85338

GCD(862, 198) = 170676 / 85338

GCD(862, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 330

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

LCM(2, 330) = 330

GCD(2, 330) = ( 2 x 330 ) / 330

GCD(2, 330) = 660 / 330

GCD(2, 330) = 2

GCD of 862, 198, 82, 330 is 2

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1. What is the GCD of 862, 198, 82, 330?

GCD of 862, 198, 82, 330 is 2

2. Where do I get the detailed procedure to find GCD of 862, 198, 82, 330?

You can find a detailed procedure to find GCD of 862, 198, 82, 330 on our page.

3. How to find GCD of 862, 198, 82, 330 on a calculator?

You can find the GCD of 862, 198, 82, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.