GCD of 288, 214, 56, 495 Calculator

Given Input numbers are 288, 214, 56, 495

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

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 288, 214, 56, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 214, 56, 495 is 1.

Therefore, GCD of numbers 288, 214, 56, 495 is 1

Given Input Data is 288, 214, 56, 495

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

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 495 is 3 x 3 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

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(288, 214) = 30816

GCD(288, 214) = ( 288 x 214 ) / 30816

GCD(288, 214) = 61632 / 30816

GCD(288, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 495

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

LCM(2, 495) = 990

GCD(2, 495) = ( 2 x 495 ) / 990

GCD(2, 495) = 990 / 990

GCD(2, 495) = 1

GCD of 288, 214, 56, 495 is 1

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1. What is the GCD of 288, 214, 56, 495?

GCD of 288, 214, 56, 495 is 1

2. Where do I get the detailed procedure to find GCD of 288, 214, 56, 495?

You can find a detailed procedure to find GCD of 288, 214, 56, 495 on our page.

3. How to find GCD of 288, 214, 56, 495 on a calculator?

You can find the GCD of 288, 214, 56, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.