GCD of 300, 188, 466, 218 Calculator

Given Input numbers are 300, 188, 466, 218

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 466

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

1, 2, 233, 466

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 300, 188, 466, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 188, 466, 218 is 2.

Therefore, GCD of numbers 300, 188, 466, 218 is 2

Given Input Data is 300, 188, 466, 218

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 466 is 2 x 233

Prime Factorization of 218 is 2 x 109

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(300, 188) = 14100

GCD(300, 188) = ( 300 x 188 ) / 14100

GCD(300, 188) = 56400 / 14100

GCD(300, 188) = 4

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 218

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

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

GCD(2, 218) = 436 / 218

GCD(2, 218) = 2

GCD of 300, 188, 466, 218 is 2

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1. What is the GCD of 300, 188, 466, 218?

GCD of 300, 188, 466, 218 is 2

2. Where do I get the detailed procedure to find GCD of 300, 188, 466, 218?

You can find a detailed procedure to find GCD of 300, 188, 466, 218 on our page.

3. How to find GCD of 300, 188, 466, 218 on a calculator?

You can find the GCD of 300, 188, 466, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.