GCD of 300, 166, 284, 632 Calculator

Given Input numbers are 300, 166, 284, 632

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 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 300, 166, 284, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 166, 284, 632 is 2.

Therefore, GCD of numbers 300, 166, 284, 632 is 2

Given Input Data is 300, 166, 284, 632

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 166 is 2 x 83

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 632 is 2 x 2 x 2 x 79

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, 166) = 24900

GCD(300, 166) = ( 300 x 166 ) / 24900

GCD(300, 166) = 49800 / 24900

GCD(300, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 284

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

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

GCD(2, 284) = 568 / 284

GCD(2, 284) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 632

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

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

GCD(2, 632) = 1264 / 632

GCD(2, 632) = 2

GCD of 300, 166, 284, 632 is 2

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1. What is the GCD of 300, 166, 284, 632?

GCD of 300, 166, 284, 632 is 2

2. Where do I get the detailed procedure to find GCD of 300, 166, 284, 632?

You can find a detailed procedure to find GCD of 300, 166, 284, 632 on our page.

3. How to find GCD of 300, 166, 284, 632 on a calculator?

You can find the GCD of 300, 166, 284, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.