GCD of 36, 196, 258, 808 Calculator

Given Input numbers are 36, 196, 258, 808

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 36, 196, 258, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 196, 258, 808 is 2.

Therefore, GCD of numbers 36, 196, 258, 808 is 2

Given Input Data is 36, 196, 258, 808

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 808 is 2 x 2 x 2 x 101

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(36, 196) = 1764

GCD(36, 196) = ( 36 x 196 ) / 1764

GCD(36, 196) = 7056 / 1764

GCD(36, 196) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 258

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

LCM(4, 258) = 516

GCD(4, 258) = ( 4 x 258 ) / 516

GCD(4, 258) = 1032 / 516

GCD(4, 258) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 808

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

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

GCD(2, 808) = 1616 / 808

GCD(2, 808) = 2

GCD of 36, 196, 258, 808 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 843, 234, 764
• GCD of 40, 276, 800, 203
• GCD of 74, 733, 115, 883
• GCD of 42, 193, 762, 843
• GCD of 32, 899, 731, 948

1. What is the GCD of 36, 196, 258, 808?

GCD of 36, 196, 258, 808 is 2

2. Where do I get the detailed procedure to find GCD of 36, 196, 258, 808?

You can find a detailed procedure to find GCD of 36, 196, 258, 808 on our page.

3. How to find GCD of 36, 196, 258, 808 on a calculator?

You can find the GCD of 36, 196, 258, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.