GCD of 728, 664, 862, 791 Calculator

Given Input numbers are 728, 664, 862, 791

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

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 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 728, 664, 862, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 664, 862, 791 is 1.

Therefore, GCD of numbers 728, 664, 862, 791 is 1

Given Input Data is 728, 664, 862, 791

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

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 862 is 2 x 431

Prime Factorization of 791 is 7 x 113

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(728, 664) = 60424

GCD(728, 664) = ( 728 x 664 ) / 60424

GCD(728, 664) = 483392 / 60424

GCD(728, 664) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 862

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

LCM(8, 862) = 3448

GCD(8, 862) = ( 8 x 862 ) / 3448

GCD(8, 862) = 6896 / 3448

GCD(8, 862) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 791

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

LCM(2, 791) = 1582

GCD(2, 791) = ( 2 x 791 ) / 1582

GCD(2, 791) = 1582 / 1582

GCD(2, 791) = 1

GCD of 728, 664, 862, 791 is 1

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1. What is the GCD of 728, 664, 862, 791?

GCD of 728, 664, 862, 791 is 1

2. Where do I get the detailed procedure to find GCD of 728, 664, 862, 791?

You can find a detailed procedure to find GCD of 728, 664, 862, 791 on our page.

3. How to find GCD of 728, 664, 862, 791 on a calculator?

You can find the GCD of 728, 664, 862, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.