GCD of 255, 119, 29, 248 Calculator

Given Input numbers are 255, 119, 29, 248

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Greatest Common Divisior

We found the divisors of 255, 119, 29, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 119, 29, 248 is 1.

Therefore, GCD of numbers 255, 119, 29, 248 is 1

Given Input Data is 255, 119, 29, 248

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 119 is 7 x 17

Prime Factorization of 29 is 29

Prime Factorization of 248 is 2 x 2 x 2 x 31

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, 119) = 1785

GCD(255, 119) = ( 255 x 119 ) / 1785

GCD(255, 119) = 30345 / 1785

GCD(255, 119) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 29

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

LCM(17, 29) = 493

GCD(17, 29) = ( 17 x 29 ) / 493

GCD(17, 29) = 493 / 493

GCD(17, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 248

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

LCM(1, 248) = 248

GCD(1, 248) = ( 1 x 248 ) / 248

GCD(1, 248) = 248 / 248

GCD(1, 248) = 1

GCD of 255, 119, 29, 248 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 897, 32, 894
• GCD of 949, 548, 15, 819
• GCD of 568, 906, 95, 893
• GCD of 864, 918, 57, 104
• GCD of 929, 608, 82, 294

1. What is the GCD of 255, 119, 29, 248?

GCD of 255, 119, 29, 248 is 1

2. Where do I get the detailed procedure to find GCD of 255, 119, 29, 248?

You can find a detailed procedure to find GCD of 255, 119, 29, 248 on our page.

3. How to find GCD of 255, 119, 29, 248 on a calculator?

You can find the GCD of 255, 119, 29, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.