GCD of 27, 374, 781, 728 Calculator

Given Input numbers are 27, 374, 781, 728

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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

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 27, 374, 781, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 374, 781, 728 is 1.

Therefore, GCD of numbers 27, 374, 781, 728 is 1

Given Input Data is 27, 374, 781, 728

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 781 is 11 x 71

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(27, 374) = 10098

GCD(27, 374) = ( 27 x 374 ) / 10098

GCD(27, 374) = 10098 / 10098

GCD(27, 374) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 781

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

LCM(1, 781) = 781

GCD(1, 781) = ( 1 x 781 ) / 781

GCD(1, 781) = 781 / 781

GCD(1, 781) = 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 27, 374, 781, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 734, 345, 634
• GCD of 17, 100, 200, 126
• GCD of 60, 431, 913, 874
• GCD of 35, 924, 849, 693
• GCD of 70, 669, 944, 321

1. What is the GCD of 27, 374, 781, 728?

GCD of 27, 374, 781, 728 is 1

2. Where do I get the detailed procedure to find GCD of 27, 374, 781, 728?

You can find a detailed procedure to find GCD of 27, 374, 781, 728 on our page.

3. How to find GCD of 27, 374, 781, 728 on a calculator?

You can find the GCD of 27, 374, 781, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.