GCD of 686, 728, 328, 722 Calculator

Given Input numbers are 686, 728, 328, 722

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 328

List of positive integer divisors of 328 that divides 328 without a remainder.

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 686, 728, 328, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 728, 328, 722 is 2.

Therefore, GCD of numbers 686, 728, 328, 722 is 2

Given Input Data is 686, 728, 328, 722

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 328 is 2 x 2 x 2 x 41

Prime Factorization of 722 is 2 x 19 x 19

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 328

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

LCM(14, 328) = 2296

GCD(14, 328) = ( 14 x 328 ) / 2296

GCD(14, 328) = 4592 / 2296

GCD(14, 328) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 722

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

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

GCD(2, 722) = 1444 / 722

GCD(2, 722) = 2

GCD of 686, 728, 328, 722 is 2

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1. What is the GCD of 686, 728, 328, 722?

GCD of 686, 728, 328, 722 is 2

2. Where do I get the detailed procedure to find GCD of 686, 728, 328, 722?

You can find a detailed procedure to find GCD of 686, 728, 328, 722 on our page.

3. How to find GCD of 686, 728, 328, 722 on a calculator?

You can find the GCD of 686, 728, 328, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.