GCD of 916, 832, 82, 917 Calculator

Given Input numbers are 916, 832, 82, 917

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

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 916, 832, 82, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 832, 82, 917 is 1.

Therefore, GCD of numbers 916, 832, 82, 917 is 1

Given Input Data is 916, 832, 82, 917

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 82 is 2 x 41

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(916, 832) = 190528

GCD(916, 832) = ( 916 x 832 ) / 190528

GCD(916, 832) = 762112 / 190528

GCD(916, 832) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 82

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

LCM(4, 82) = 164

GCD(4, 82) = ( 4 x 82 ) / 164

GCD(4, 82) = 328 / 164

GCD(4, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 917

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

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

GCD(2, 917) = 1834 / 1834

GCD(2, 917) = 1

GCD of 916, 832, 82, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 155, 84, 409
• GCD of 560, 506, 54, 279
• GCD of 333, 818, 39, 916
• GCD of 110, 967, 65, 885
• GCD of 177, 621, 63, 501

1. What is the GCD of 916, 832, 82, 917?

GCD of 916, 832, 82, 917 is 1

2. Where do I get the detailed procedure to find GCD of 916, 832, 82, 917?

You can find a detailed procedure to find GCD of 916, 832, 82, 917 on our page.

3. How to find GCD of 916, 832, 82, 917 on a calculator?

You can find the GCD of 916, 832, 82, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.