GCD of 255, 225, 160, 798 Calculator

Given Input numbers are 255, 225, 160, 798

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 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 255, 225, 160, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 225, 160, 798 is 1.

Therefore, GCD of numbers 255, 225, 160, 798 is 1

Given Input Data is 255, 225, 160, 798

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 225 is 3 x 3 x 5 x 5

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 798 is 2 x 3 x 7 x 19

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, 225) = 3825

GCD(255, 225) = ( 255 x 225 ) / 3825

GCD(255, 225) = 57375 / 3825

GCD(255, 225) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 160

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

LCM(15, 160) = 480

GCD(15, 160) = ( 15 x 160 ) / 480

GCD(15, 160) = 2400 / 480

GCD(15, 160) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 798

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

LCM(5, 798) = 3990

GCD(5, 798) = ( 5 x 798 ) / 3990

GCD(5, 798) = 3990 / 3990

GCD(5, 798) = 1

GCD of 255, 225, 160, 798 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 323, 391, 904
• GCD of 479, 289, 396, 563
• GCD of 464, 479, 730, 405
• GCD of 610, 247, 897, 910
• GCD of 737, 261, 769, 409

1. What is the GCD of 255, 225, 160, 798?

GCD of 255, 225, 160, 798 is 1

2. Where do I get the detailed procedure to find GCD of 255, 225, 160, 798?

You can find a detailed procedure to find GCD of 255, 225, 160, 798 on our page.

3. How to find GCD of 255, 225, 160, 798 on a calculator?

You can find the GCD of 255, 225, 160, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.