GCD of 686, 728, 656 Calculator

Given Input numbers are 686, 728, 656

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 686, 728, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 728, 656 is 2.

Therefore, GCD of numbers 686, 728, 656 is 2

Given Input Data is 686, 728, 656

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(686, 728) = 35672

GCD(686, 728) = ( 686 x 728 ) / 35672

GCD(686, 728) = 499408 / 35672

GCD(686, 728) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 656

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

LCM(14, 656) = 4592

GCD(14, 656) = ( 14 x 656 ) / 4592

GCD(14, 656) = 9184 / 4592

GCD(14, 656) = 2

GCD of 686, 728, 656 is 2

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1. What is the GCD of 686, 728, 656?

GCD of 686, 728, 656 is 2

2. Where do I get the detailed procedure to find GCD of 686, 728, 656?

You can find a detailed procedure to find GCD of 686, 728, 656 on our page.

3. How to find GCD of 686, 728, 656 on a calculator?

You can find the GCD of 686, 728, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.