GCD of 462, 522, 255, 875 Calculator

Given Input numbers are 462, 522, 255, 875

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 462, 522, 255, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 522, 255, 875 is 1.

Therefore, GCD of numbers 462, 522, 255, 875 is 1

Given Input Data is 462, 522, 255, 875

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 875 is 5 x 5 x 5 x 7

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(462, 522) = 40194

GCD(462, 522) = ( 462 x 522 ) / 40194

GCD(462, 522) = 241164 / 40194

GCD(462, 522) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 255

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

LCM(6, 255) = 510

GCD(6, 255) = ( 6 x 255 ) / 510

GCD(6, 255) = 1530 / 510

GCD(6, 255) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 875

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

LCM(3, 875) = 2625

GCD(3, 875) = ( 3 x 875 ) / 2625

GCD(3, 875) = 2625 / 2625

GCD(3, 875) = 1

GCD of 462, 522, 255, 875 is 1

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1. What is the GCD of 462, 522, 255, 875?

GCD of 462, 522, 255, 875 is 1

2. Where do I get the detailed procedure to find GCD of 462, 522, 255, 875?

You can find a detailed procedure to find GCD of 462, 522, 255, 875 on our page.

3. How to find GCD of 462, 522, 255, 875 on a calculator?

You can find the GCD of 462, 522, 255, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.