GCD of 300, 284, 160, 418 Calculator

Given Input numbers are 300, 284, 160, 418

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 284

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

1, 2, 4, 71, 142, 284

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 300, 284, 160, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 284, 160, 418 is 2.

Therefore, GCD of numbers 300, 284, 160, 418 is 2

Given Input Data is 300, 284, 160, 418

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 284 is 2 x 2 x 71

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 418 is 2 x 11 x 19

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, 284) = 21300

GCD(300, 284) = ( 300 x 284 ) / 21300

GCD(300, 284) = 85200 / 21300

GCD(300, 284) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 160

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

LCM(4, 160) = 160

GCD(4, 160) = ( 4 x 160 ) / 160

GCD(4, 160) = 640 / 160

GCD(4, 160) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 418

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

LCM(4, 418) = 836

GCD(4, 418) = ( 4 x 418 ) / 836

GCD(4, 418) = 1672 / 836

GCD(4, 418) = 2

GCD of 300, 284, 160, 418 is 2

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1. What is the GCD of 300, 284, 160, 418?

GCD of 300, 284, 160, 418 is 2

2. Where do I get the detailed procedure to find GCD of 300, 284, 160, 418?

You can find a detailed procedure to find GCD of 300, 284, 160, 418 on our page.

3. How to find GCD of 300, 284, 160, 418 on a calculator?

You can find the GCD of 300, 284, 160, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.