GCD of 828, 475, 245, 255 Calculator

Given Input numbers are 828, 475, 245, 255

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 255

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

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

Greatest Common Divisior

We found the divisors of 828, 475, 245, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 475, 245, 255 is 1.

Therefore, GCD of numbers 828, 475, 245, 255 is 1

Given Input Data is 828, 475, 245, 255

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 255 is 3 x 5 x 17

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(828, 475) = 393300

GCD(828, 475) = ( 828 x 475 ) / 393300

GCD(828, 475) = 393300 / 393300

GCD(828, 475) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 245

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

LCM(1, 245) = 245

GCD(1, 245) = ( 1 x 245 ) / 245

GCD(1, 245) = 245 / 245

GCD(1, 245) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 828, 475, 245, 255 is 1

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1. What is the GCD of 828, 475, 245, 255?

GCD of 828, 475, 245, 255 is 1

2. Where do I get the detailed procedure to find GCD of 828, 475, 245, 255?

You can find a detailed procedure to find GCD of 828, 475, 245, 255 on our page.

3. How to find GCD of 828, 475, 245, 255 on a calculator?

You can find the GCD of 828, 475, 245, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.