GCD of 726, 921, 28, 805 Calculator

Given Input numbers are 726, 921, 28, 805

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 921

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

1, 3, 307, 921

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Greatest Common Divisior

We found the divisors of 726, 921, 28, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 921, 28, 805 is 1.

Therefore, GCD of numbers 726, 921, 28, 805 is 1

Given Input Data is 726, 921, 28, 805

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 921 is 3 x 307

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 805 is 5 x 7 x 23

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(726, 921) = 222882

GCD(726, 921) = ( 726 x 921 ) / 222882

GCD(726, 921) = 668646 / 222882

GCD(726, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 28

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

LCM(3, 28) = 84

GCD(3, 28) = ( 3 x 28 ) / 84

GCD(3, 28) = 84 / 84

GCD(3, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

GCD of 726, 921, 28, 805 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 270, 97, 615
• GCD of 676, 982, 99, 793
• GCD of 170, 941, 40, 314
• GCD of 208, 772, 57, 294
• GCD of 368, 323, 63, 822

1. What is the GCD of 726, 921, 28, 805?

GCD of 726, 921, 28, 805 is 1

2. Where do I get the detailed procedure to find GCD of 726, 921, 28, 805?

You can find a detailed procedure to find GCD of 726, 921, 28, 805 on our page.

3. How to find GCD of 726, 921, 28, 805 on a calculator?

You can find the GCD of 726, 921, 28, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.