GCD of 685, 702, 709, 728 Calculator

Given Input numbers are 685, 702, 709, 728

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

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

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

Greatest Common Divisior

We found the divisors of 685, 702, 709, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 702, 709, 728 is 1.

Therefore, GCD of numbers 685, 702, 709, 728 is 1

Given Input Data is 685, 702, 709, 728

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

Prime Factorization of 685 is 5 x 137

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 709 is 709

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

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(685, 702) = 480870

GCD(685, 702) = ( 685 x 702 ) / 480870

GCD(685, 702) = 480870 / 480870

GCD(685, 702) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 685, 702, 709, 728 is 1

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1. What is the GCD of 685, 702, 709, 728?

GCD of 685, 702, 709, 728 is 1

2. Where do I get the detailed procedure to find GCD of 685, 702, 709, 728?

You can find a detailed procedure to find GCD of 685, 702, 709, 728 on our page.

3. How to find GCD of 685, 702, 709, 728 on a calculator?

You can find the GCD of 685, 702, 709, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.