GCD of 428, 728, 315, 927 Calculator

Given Input numbers are 428, 728, 315, 927

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Greatest Common Divisior

We found the divisors of 428, 728, 315, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 728, 315, 927 is 1.

Therefore, GCD of numbers 428, 728, 315, 927 is 1

Given Input Data is 428, 728, 315, 927

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

Prime Factorization of 428 is 2 x 2 x 107

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 927 is 3 x 3 x 103

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(428, 728) = 77896

GCD(428, 728) = ( 428 x 728 ) / 77896

GCD(428, 728) = 311584 / 77896

GCD(428, 728) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 315

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

LCM(4, 315) = 1260

GCD(4, 315) = ( 4 x 315 ) / 1260

GCD(4, 315) = 1260 / 1260

GCD(4, 315) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 927

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

LCM(1, 927) = 927

GCD(1, 927) = ( 1 x 927 ) / 927

GCD(1, 927) = 927 / 927

GCD(1, 927) = 1

GCD of 428, 728, 315, 927 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 550, 311, 178
• GCD of 236, 412, 795, 608
• GCD of 799, 161, 669, 767
• GCD of 128, 664, 477, 636
• GCD of 631, 875, 540, 892

1. What is the GCD of 428, 728, 315, 927?

GCD of 428, 728, 315, 927 is 1

2. Where do I get the detailed procedure to find GCD of 428, 728, 315, 927?

You can find a detailed procedure to find GCD of 428, 728, 315, 927 on our page.

3. How to find GCD of 428, 728, 315, 927 on a calculator?

You can find the GCD of 428, 728, 315, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.