GCD of 54, 131, 238, 226 Calculator

Given Input numbers are 54, 131, 238, 226

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 226

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

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 54, 131, 238, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 131, 238, 226 is 1.

Therefore, GCD of numbers 54, 131, 238, 226 is 1

Given Input Data is 54, 131, 238, 226

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 131 is 131

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 226 is 2 x 113

The above numbers do not have any common prime factor. So GCD is 1

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(54, 131) = 7074

GCD(54, 131) = ( 54 x 131 ) / 7074

GCD(54, 131) = 7074 / 7074

GCD(54, 131) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 54, 131, 238, 226 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 300, 234, 724
• GCD of 47, 474, 434, 885
• GCD of 96, 271, 232, 936
• GCD of 50, 511, 946, 239
• GCD of 17, 267, 865, 315

1. What is the GCD of 54, 131, 238, 226?

GCD of 54, 131, 238, 226 is 1

2. Where do I get the detailed procedure to find GCD of 54, 131, 238, 226?

You can find a detailed procedure to find GCD of 54, 131, 238, 226 on our page.

3. How to find GCD of 54, 131, 238, 226 on a calculator?

You can find the GCD of 54, 131, 238, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.