GCD of 138, 226, 260, 261 Calculator

Given Input numbers are 138, 226, 260, 261

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 226

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

1, 2, 113, 226

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 138, 226, 260, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 226, 260, 261 is 1.

Therefore, GCD of numbers 138, 226, 260, 261 is 1

Given Input Data is 138, 226, 260, 261

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 226 is 2 x 113

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 261 is 3 x 3 x 29

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(138, 226) = 15594

GCD(138, 226) = ( 138 x 226 ) / 15594

GCD(138, 226) = 31188 / 15594

GCD(138, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 260

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

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

GCD(2, 260) = 520 / 260

GCD(2, 260) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 261

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

LCM(2, 261) = 522

GCD(2, 261) = ( 2 x 261 ) / 522

GCD(2, 261) = 522 / 522

GCD(2, 261) = 1

GCD of 138, 226, 260, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 359, 698, 260
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• GCD of 750, 378, 854, 892

1. What is the GCD of 138, 226, 260, 261?

GCD of 138, 226, 260, 261 is 1

2. Where do I get the detailed procedure to find GCD of 138, 226, 260, 261?

You can find a detailed procedure to find GCD of 138, 226, 260, 261 on our page.

3. How to find GCD of 138, 226, 260, 261 on a calculator?

You can find the GCD of 138, 226, 260, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.