GCD of 32, 398, 871, 917 Calculator

Given Input numbers are 32, 398, 871, 917

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 871

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

1, 13, 67, 871

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 32, 398, 871, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 398, 871, 917 is 1.

Therefore, GCD of numbers 32, 398, 871, 917 is 1

Given Input Data is 32, 398, 871, 917

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 398 is 2 x 199

Prime Factorization of 871 is 13 x 67

Prime Factorization of 917 is 7 x 131

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(32, 398) = 6368

GCD(32, 398) = ( 32 x 398 ) / 6368

GCD(32, 398) = 12736 / 6368

GCD(32, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 871

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

LCM(2, 871) = 1742

GCD(2, 871) = ( 2 x 871 ) / 1742

GCD(2, 871) = 1742 / 1742

GCD(2, 871) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

GCD of 32, 398, 871, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 501, 912, 179
• GCD of 99, 667, 731, 586
• GCD of 10, 293, 201, 298
• GCD of 34, 677, 825, 706
• GCD of 79, 268, 911, 198

1. What is the GCD of 32, 398, 871, 917?

GCD of 32, 398, 871, 917 is 1

2. Where do I get the detailed procedure to find GCD of 32, 398, 871, 917?

You can find a detailed procedure to find GCD of 32, 398, 871, 917 on our page.

3. How to find GCD of 32, 398, 871, 917 on a calculator?

You can find the GCD of 32, 398, 871, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.