GCD of 302, 232, 36, 480 Calculator

Given Input numbers are 302, 232, 36, 480

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 302, 232, 36, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 232, 36, 480 is 2.

Therefore, GCD of numbers 302, 232, 36, 480 is 2

Given Input Data is 302, 232, 36, 480

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(302, 232) = 35032

GCD(302, 232) = ( 302 x 232 ) / 35032

GCD(302, 232) = 70064 / 35032

GCD(302, 232) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

GCD of 302, 232, 36, 480 is 2

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1. What is the GCD of 302, 232, 36, 480?

GCD of 302, 232, 36, 480 is 2

2. Where do I get the detailed procedure to find GCD of 302, 232, 36, 480?

You can find a detailed procedure to find GCD of 302, 232, 36, 480 on our page.

3. How to find GCD of 302, 232, 36, 480 on a calculator?

You can find the GCD of 302, 232, 36, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.