GCD of 484, 500, 888, 466 Calculator

Given Input numbers are 484, 500, 888, 466

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 484, 500, 888, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 500, 888, 466 is 2.

Therefore, GCD of numbers 484, 500, 888, 466 is 2

Given Input Data is 484, 500, 888, 466

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 466 is 2 x 233

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(484, 500) = 60500

GCD(484, 500) = ( 484 x 500 ) / 60500

GCD(484, 500) = 242000 / 60500

GCD(484, 500) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 888

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

LCM(4, 888) = 888

GCD(4, 888) = ( 4 x 888 ) / 888

GCD(4, 888) = 3552 / 888

GCD(4, 888) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 466

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

LCM(4, 466) = 932

GCD(4, 466) = ( 4 x 466 ) / 932

GCD(4, 466) = 1864 / 932

GCD(4, 466) = 2

GCD of 484, 500, 888, 466 is 2

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1. What is the GCD of 484, 500, 888, 466?

GCD of 484, 500, 888, 466 is 2

2. Where do I get the detailed procedure to find GCD of 484, 500, 888, 466?

You can find a detailed procedure to find GCD of 484, 500, 888, 466 on our page.

3. How to find GCD of 484, 500, 888, 466 on a calculator?

You can find the GCD of 484, 500, 888, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.