GCD of 39, 277, 728, 404 Calculator

Given Input numbers are 39, 277, 728, 404

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

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 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 39, 277, 728, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 277, 728, 404 is 1.

Therefore, GCD of numbers 39, 277, 728, 404 is 1

Given Input Data is 39, 277, 728, 404

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 277 is 277

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

Prime Factorization of 404 is 2 x 2 x 101

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(39, 277) = 10803

GCD(39, 277) = ( 39 x 277 ) / 10803

GCD(39, 277) = 10803 / 10803

GCD(39, 277) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 39, 277, 728, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 274, 196, 426
• GCD of 90, 288, 774, 615
• GCD of 47, 812, 251, 876
• GCD of 39, 957, 376, 781
• GCD of 62, 192, 883, 303

1. What is the GCD of 39, 277, 728, 404?

GCD of 39, 277, 728, 404 is 1

2. Where do I get the detailed procedure to find GCD of 39, 277, 728, 404?

You can find a detailed procedure to find GCD of 39, 277, 728, 404 on our page.

3. How to find GCD of 39, 277, 728, 404 on a calculator?

You can find the GCD of 39, 277, 728, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.