GCD of 688, 455, 648 Calculator

Given Input numbers are 688, 455, 648

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 688, 455, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 455, 648 is 1.

Therefore, GCD of numbers 688, 455, 648 is 1

Given Input Data is 688, 455, 648

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(688, 455) = 313040

GCD(688, 455) = ( 688 x 455 ) / 313040

GCD(688, 455) = 313040 / 313040

GCD(688, 455) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 688, 455, 648 is 1

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1. What is the GCD of 688, 455, 648?

GCD of 688, 455, 648 is 1

2. Where do I get the detailed procedure to find GCD of 688, 455, 648?

You can find a detailed procedure to find GCD of 688, 455, 648 on our page.

3. How to find GCD of 688, 455, 648 on a calculator?

You can find the GCD of 688, 455, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.