GCD of 338, 198, 862, 820 Calculator

Given Input numbers are 338, 198, 862, 820

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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 862

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

1, 2, 431, 862

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 338, 198, 862, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 198, 862, 820 is 2.

Therefore, GCD of numbers 338, 198, 862, 820 is 2

Given Input Data is 338, 198, 862, 820

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

Prime Factorization of 338 is 2 x 13 x 13

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

Prime Factorization of 862 is 2 x 431

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(338, 198) = 33462

GCD(338, 198) = ( 338 x 198 ) / 33462

GCD(338, 198) = 66924 / 33462

GCD(338, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 862

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

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

GCD(2, 862) = 1724 / 862

GCD(2, 862) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 820

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

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

GCD(2, 820) = 1640 / 820

GCD(2, 820) = 2

GCD of 338, 198, 862, 820 is 2

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1. What is the GCD of 338, 198, 862, 820?

GCD of 338, 198, 862, 820 is 2

2. Where do I get the detailed procedure to find GCD of 338, 198, 862, 820?

You can find a detailed procedure to find GCD of 338, 198, 862, 820 on our page.

3. How to find GCD of 338, 198, 862, 820 on a calculator?

You can find the GCD of 338, 198, 862, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.