GCD of 448, 288, 13, 639 Calculator

Given Input numbers are 448, 288, 13, 639

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

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 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Greatest Common Divisior

We found the divisors of 448, 288, 13, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 288, 13, 639 is 1.

Therefore, GCD of numbers 448, 288, 13, 639 is 1

Given Input Data is 448, 288, 13, 639

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Prime Factorization of 13 is 13

Prime Factorization of 639 is 3 x 3 x 71

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(448, 288) = 4032

GCD(448, 288) = ( 448 x 288 ) / 4032

GCD(448, 288) = 129024 / 4032

GCD(448, 288) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 13

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

LCM(32, 13) = 416

GCD(32, 13) = ( 32 x 13 ) / 416

GCD(32, 13) = 416 / 416

GCD(32, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 639

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

LCM(1, 639) = 639

GCD(1, 639) = ( 1 x 639 ) / 639

GCD(1, 639) = 639 / 639

GCD(1, 639) = 1

GCD of 448, 288, 13, 639 is 1

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• GCD of 820, 234, 59, 439
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1. What is the GCD of 448, 288, 13, 639?

GCD of 448, 288, 13, 639 is 1

2. Where do I get the detailed procedure to find GCD of 448, 288, 13, 639?

You can find a detailed procedure to find GCD of 448, 288, 13, 639 on our page.

3. How to find GCD of 448, 288, 13, 639 on a calculator?

You can find the GCD of 448, 288, 13, 639 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.