GCD of 72, 288, 310, 636 Calculator

Given Input numbers are 72, 288, 310, 636

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 72, 288, 310, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 288, 310, 636 is 2.

Therefore, GCD of numbers 72, 288, 310, 636 is 2

Given Input Data is 72, 288, 310, 636

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 636 is 2 x 2 x 3 x 53

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(72, 288) = 288

GCD(72, 288) = ( 72 x 288 ) / 288

GCD(72, 288) = 20736 / 288

GCD(72, 288) = 72

Step2:

Here we consider the GCD from the above i.e. 72 as first number and the next as 310

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

LCM(72, 310) = 11160

GCD(72, 310) = ( 72 x 310 ) / 11160

GCD(72, 310) = 22320 / 11160

GCD(72, 310) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 636

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

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

GCD(2, 636) = 1272 / 636

GCD(2, 636) = 2

GCD of 72, 288, 310, 636 is 2

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1. What is the GCD of 72, 288, 310, 636?

GCD of 72, 288, 310, 636 is 2

2. Where do I get the detailed procedure to find GCD of 72, 288, 310, 636?

You can find a detailed procedure to find GCD of 72, 288, 310, 636 on our page.

3. How to find GCD of 72, 288, 310, 636 on a calculator?

You can find the GCD of 72, 288, 310, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.