GCD of 704, 288, 313 Calculator

Given Input numbers are 704, 288, 313

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 704, 288, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 288, 313 is 1.

Therefore, GCD of numbers 704, 288, 313 is 1

Given Input Data is 704, 288, 313

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 313 is 313

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(704, 288) = 6336

GCD(704, 288) = ( 704 x 288 ) / 6336

GCD(704, 288) = 202752 / 6336

GCD(704, 288) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 313

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

LCM(32, 313) = 10016

GCD(32, 313) = ( 32 x 313 ) / 10016

GCD(32, 313) = 10016 / 10016

GCD(32, 313) = 1

GCD of 704, 288, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 711, 867
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• GCD of 121, 732, 552
• GCD of 550, 990, 868

1. What is the GCD of 704, 288, 313?

GCD of 704, 288, 313 is 1

2. Where do I get the detailed procedure to find GCD of 704, 288, 313?

You can find a detailed procedure to find GCD of 704, 288, 313 on our page.

3. How to find GCD of 704, 288, 313 on a calculator?

You can find the GCD of 704, 288, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.