GCD of 255, 115, 67, 106 Calculator

Given Input numbers are 255, 115, 67, 106

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 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 255, 115, 67, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 115, 67, 106 is 1.

Therefore, GCD of numbers 255, 115, 67, 106 is 1

Given Input Data is 255, 115, 67, 106

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 115 is 5 x 23

Prime Factorization of 67 is 67

Prime Factorization of 106 is 2 x 53

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, 115) = 5865

GCD(255, 115) = ( 255 x 115 ) / 5865

GCD(255, 115) = 29325 / 5865

GCD(255, 115) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 67

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

LCM(5, 67) = 335

GCD(5, 67) = ( 5 x 67 ) / 335

GCD(5, 67) = 335 / 335

GCD(5, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 255, 115, 67, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 788, 15, 797
• GCD of 116, 689, 21, 178
• GCD of 960, 764, 77, 189
• GCD of 952, 167, 14, 685
• GCD of 386, 291, 74, 271

1. What is the GCD of 255, 115, 67, 106?

GCD of 255, 115, 67, 106 is 1

2. Where do I get the detailed procedure to find GCD of 255, 115, 67, 106?

You can find a detailed procedure to find GCD of 255, 115, 67, 106 on our page.

3. How to find GCD of 255, 115, 67, 106 on a calculator?

You can find the GCD of 255, 115, 67, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.