GCD of 825, 168, 255, 310 Calculator

Given Input numbers are 825, 168, 255, 310

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 825, 168, 255, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 168, 255, 310 is 1.

Therefore, GCD of numbers 825, 168, 255, 310 is 1

Given Input Data is 825, 168, 255, 310

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 310 is 2 x 5 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(825, 168) = 46200

GCD(825, 168) = ( 825 x 168 ) / 46200

GCD(825, 168) = 138600 / 46200

GCD(825, 168) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 255

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

LCM(3, 255) = 255

GCD(3, 255) = ( 3 x 255 ) / 255

GCD(3, 255) = 765 / 255

GCD(3, 255) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 310

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

LCM(3, 310) = 930

GCD(3, 310) = ( 3 x 310 ) / 930

GCD(3, 310) = 930 / 930

GCD(3, 310) = 1

GCD of 825, 168, 255, 310 is 1

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1. What is the GCD of 825, 168, 255, 310?

GCD of 825, 168, 255, 310 is 1

2. Where do I get the detailed procedure to find GCD of 825, 168, 255, 310?

You can find a detailed procedure to find GCD of 825, 168, 255, 310 on our page.

3. How to find GCD of 825, 168, 255, 310 on a calculator?

You can find the GCD of 825, 168, 255, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.