GCD of 312, 289, 32 Calculator

Given Input numbers are 312, 289, 32

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Greatest Common Divisior

We found the divisors of 312, 289, 32 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 289, 32 is 1.

Therefore, GCD of numbers 312, 289, 32 is 1

Given Input Data is 312, 289, 32

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 289 is 17 x 17

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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(312, 289) = 90168

GCD(312, 289) = ( 312 x 289 ) / 90168

GCD(312, 289) = 90168 / 90168

GCD(312, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

GCD of 312, 289, 32 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 826, 84
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1. What is the GCD of 312, 289, 32?

GCD of 312, 289, 32 is 1

2. Where do I get the detailed procedure to find GCD of 312, 289, 32?

You can find a detailed procedure to find GCD of 312, 289, 32 on our page.

3. How to find GCD of 312, 289, 32 on a calculator?

You can find the GCD of 312, 289, 32 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.