GCD of 226, 418, 36, 178 Calculator

Given Input numbers are 226, 418, 36, 178

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

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 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 226, 418, 36, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 418, 36, 178 is 2.

Therefore, GCD of numbers 226, 418, 36, 178 is 2

Given Input Data is 226, 418, 36, 178

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 418 is 2 x 11 x 19

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

Prime Factorization of 178 is 2 x 89

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(226, 418) = 47234

GCD(226, 418) = ( 226 x 418 ) / 47234

GCD(226, 418) = 94468 / 47234

GCD(226, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 178

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

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

GCD(2, 178) = 356 / 178

GCD(2, 178) = 2

GCD of 226, 418, 36, 178 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 812, 90, 214
• GCD of 137, 981, 15, 132
• GCD of 419, 519, 44, 922
• GCD of 856, 778, 94, 946
• GCD of 822, 878, 35, 482

1. What is the GCD of 226, 418, 36, 178?

GCD of 226, 418, 36, 178 is 2

2. Where do I get the detailed procedure to find GCD of 226, 418, 36, 178?

You can find a detailed procedure to find GCD of 226, 418, 36, 178 on our page.

3. How to find GCD of 226, 418, 36, 178 on a calculator?

You can find the GCD of 226, 418, 36, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.