GCD of 871, 928, 39, 894 Calculator

Given Input numbers are 871, 928, 39, 894

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 39

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

1, 3, 13, 39

Divisors of 894

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

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

Greatest Common Divisior

We found the divisors of 871, 928, 39, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 928, 39, 894 is 1.

Therefore, GCD of numbers 871, 928, 39, 894 is 1

Given Input Data is 871, 928, 39, 894

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 39 is 3 x 13

Prime Factorization of 894 is 2 x 3 x 149

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(871, 928) = 808288

GCD(871, 928) = ( 871 x 928 ) / 808288

GCD(871, 928) = 808288 / 808288

GCD(871, 928) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

GCD of 871, 928, 39, 894 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 712, 21, 204
• GCD of 128, 693, 19, 281
• GCD of 916, 979, 14, 240
• GCD of 580, 735, 36, 872
• GCD of 260, 811, 30, 524

1. What is the GCD of 871, 928, 39, 894?

GCD of 871, 928, 39, 894 is 1

2. Where do I get the detailed procedure to find GCD of 871, 928, 39, 894?

You can find a detailed procedure to find GCD of 871, 928, 39, 894 on our page.

3. How to find GCD of 871, 928, 39, 894 on a calculator?

You can find the GCD of 871, 928, 39, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.