GCD of 288, 464, 659, 314 Calculator

Given Input numbers are 288, 464, 659, 314

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 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 288, 464, 659, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 464, 659, 314 is 1.

Therefore, GCD of numbers 288, 464, 659, 314 is 1

Given Input Data is 288, 464, 659, 314

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 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 659 is 659

Prime Factorization of 314 is 2 x 157

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, 464) = 8352

GCD(288, 464) = ( 288 x 464 ) / 8352

GCD(288, 464) = 133632 / 8352

GCD(288, 464) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 659

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

LCM(16, 659) = 10544

GCD(16, 659) = ( 16 x 659 ) / 10544

GCD(16, 659) = 10544 / 10544

GCD(16, 659) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 288, 464, 659, 314 is 1

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1. What is the GCD of 288, 464, 659, 314?

GCD of 288, 464, 659, 314 is 1

2. Where do I get the detailed procedure to find GCD of 288, 464, 659, 314?

You can find a detailed procedure to find GCD of 288, 464, 659, 314 on our page.

3. How to find GCD of 288, 464, 659, 314 on a calculator?

You can find the GCD of 288, 464, 659, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.