GCD of 836, 798, 82, 117 Calculator

Given Input numbers are 836, 798, 82, 117

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

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 82

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

1, 2, 41, 82

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 836, 798, 82, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 798, 82, 117 is 1.

Therefore, GCD of numbers 836, 798, 82, 117 is 1

Given Input Data is 836, 798, 82, 117

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

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 82 is 2 x 41

Prime Factorization of 117 is 3 x 3 x 13

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(836, 798) = 17556

GCD(836, 798) = ( 836 x 798 ) / 17556

GCD(836, 798) = 667128 / 17556

GCD(836, 798) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 82

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

LCM(38, 82) = 1558

GCD(38, 82) = ( 38 x 82 ) / 1558

GCD(38, 82) = 3116 / 1558

GCD(38, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

GCD of 836, 798, 82, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 354, 46, 139
• GCD of 780, 860, 46, 584
• GCD of 867, 524, 81, 377
• GCD of 124, 182, 61, 927
• GCD of 124, 482, 63, 311

1. What is the GCD of 836, 798, 82, 117?

GCD of 836, 798, 82, 117 is 1

2. Where do I get the detailed procedure to find GCD of 836, 798, 82, 117?

You can find a detailed procedure to find GCD of 836, 798, 82, 117 on our page.

3. How to find GCD of 836, 798, 82, 117 on a calculator?

You can find the GCD of 836, 798, 82, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.