GCD of 728, 921, 767, 845 Calculator

Given Input numbers are 728, 921, 767, 845

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 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 728, 921, 767, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 921, 767, 845 is 1.

Therefore, GCD of numbers 728, 921, 767, 845 is 1

Given Input Data is 728, 921, 767, 845

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 921 is 3 x 307

Prime Factorization of 767 is 13 x 59

Prime Factorization of 845 is 5 x 13 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(728, 921) = 670488

GCD(728, 921) = ( 728 x 921 ) / 670488

GCD(728, 921) = 670488 / 670488

GCD(728, 921) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 845

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

LCM(1, 845) = 845

GCD(1, 845) = ( 1 x 845 ) / 845

GCD(1, 845) = 845 / 845

GCD(1, 845) = 1

GCD of 728, 921, 767, 845 is 1

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1. What is the GCD of 728, 921, 767, 845?

GCD of 728, 921, 767, 845 is 1

2. Where do I get the detailed procedure to find GCD of 728, 921, 767, 845?

You can find a detailed procedure to find GCD of 728, 921, 767, 845 on our page.

3. How to find GCD of 728, 921, 767, 845 on a calculator?

You can find the GCD of 728, 921, 767, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.