GCD of 255, 748, 15, 261 Calculator

Given Input numbers are 255, 748, 15, 261

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 255, 748, 15, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 748, 15, 261 is 1.

Therefore, GCD of numbers 255, 748, 15, 261 is 1

Given Input Data is 255, 748, 15, 261

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 15 is 3 x 5

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(255, 748) = 11220

GCD(255, 748) = ( 255 x 748 ) / 11220

GCD(255, 748) = 190740 / 11220

GCD(255, 748) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 15

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

LCM(17, 15) = 255

GCD(17, 15) = ( 17 x 15 ) / 255

GCD(17, 15) = 255 / 255

GCD(17, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

GCD of 255, 748, 15, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 449, 77, 271
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• GCD of 545, 124, 91, 736

1. What is the GCD of 255, 748, 15, 261?

GCD of 255, 748, 15, 261 is 1

2. Where do I get the detailed procedure to find GCD of 255, 748, 15, 261?

You can find a detailed procedure to find GCD of 255, 748, 15, 261 on our page.

3. How to find GCD of 255, 748, 15, 261 on a calculator?

You can find the GCD of 255, 748, 15, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.