GCD of 461, 468, 255, 914 Calculator

Given Input numbers are 461, 468, 255, 914

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 461, 468, 255, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 468, 255, 914 is 1.

Therefore, GCD of numbers 461, 468, 255, 914 is 1

Given Input Data is 461, 468, 255, 914

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

Prime Factorization of 461 is 461

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 914 is 2 x 457

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(461, 468) = 215748

GCD(461, 468) = ( 461 x 468 ) / 215748

GCD(461, 468) = 215748 / 215748

GCD(461, 468) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 461, 468, 255, 914 is 1

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1. What is the GCD of 461, 468, 255, 914?

GCD of 461, 468, 255, 914 is 1

2. Where do I get the detailed procedure to find GCD of 461, 468, 255, 914?

You can find a detailed procedure to find GCD of 461, 468, 255, 914 on our page.

3. How to find GCD of 461, 468, 255, 914 on a calculator?

You can find the GCD of 461, 468, 255, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.