GCD of 32, 113, 917, 398 Calculator

Given Input numbers are 32, 113, 917, 398

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 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 917

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

1, 7, 131, 917

Divisors of 398

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

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 32, 113, 917, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 113, 917, 398 is 1.

Therefore, GCD of numbers 32, 113, 917, 398 is 1

Given Input Data is 32, 113, 917, 398

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 113 is 113

Prime Factorization of 917 is 7 x 131

Prime Factorization of 398 is 2 x 199

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, 113) = 3616

GCD(32, 113) = ( 32 x 113 ) / 3616

GCD(32, 113) = 3616 / 3616

GCD(32, 113) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 32, 113, 917, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 102, 923, 238
• GCD of 28, 164, 791, 915
• GCD of 27, 718, 811, 785
• GCD of 96, 966, 668, 807
• GCD of 35, 205, 383, 549

1. What is the GCD of 32, 113, 917, 398?

GCD of 32, 113, 917, 398 is 1

2. Where do I get the detailed procedure to find GCD of 32, 113, 917, 398?

You can find a detailed procedure to find GCD of 32, 113, 917, 398 on our page.

3. How to find GCD of 32, 113, 917, 398 on a calculator?

You can find the GCD of 32, 113, 917, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.