GCD of 726, 897, 894, 608 Calculator

Given Input numbers are 726, 897, 894, 608

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 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 726, 897, 894, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 897, 894, 608 is 1.

Therefore, GCD of numbers 726, 897, 894, 608 is 1

Given Input Data is 726, 897, 894, 608

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 897 is 3 x 13 x 23

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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, 897) = 217074

GCD(726, 897) = ( 726 x 897 ) / 217074

GCD(726, 897) = 651222 / 217074

GCD(726, 897) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 894

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

LCM(3, 894) = 894

GCD(3, 894) = ( 3 x 894 ) / 894

GCD(3, 894) = 2682 / 894

GCD(3, 894) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 608

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

LCM(3, 608) = 1824

GCD(3, 608) = ( 3 x 608 ) / 1824

GCD(3, 608) = 1824 / 1824

GCD(3, 608) = 1

GCD of 726, 897, 894, 608 is 1

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1. What is the GCD of 726, 897, 894, 608?

GCD of 726, 897, 894, 608 is 1

2. Where do I get the detailed procedure to find GCD of 726, 897, 894, 608?

You can find a detailed procedure to find GCD of 726, 897, 894, 608 on our page.

3. How to find GCD of 726, 897, 894, 608 on a calculator?

You can find the GCD of 726, 897, 894, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.