GCD of 105, 357, 798, 831 Calculator

Given Input numbers are 105, 357, 798, 831

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

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 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 105, 357, 798, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 357, 798, 831 is 3.

Therefore, GCD of numbers 105, 357, 798, 831 is 3

Given Input Data is 105, 357, 798, 831

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 357 is 3 x 7 x 17

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

Prime Factorization of 831 is 3 x 277

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(105, 357) = 1785

GCD(105, 357) = ( 105 x 357 ) / 1785

GCD(105, 357) = 37485 / 1785

GCD(105, 357) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 798

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

LCM(21, 798) = 798

GCD(21, 798) = ( 21 x 798 ) / 798

GCD(21, 798) = 16758 / 798

GCD(21, 798) = 21

Step3:

Here we consider the GCD from the above i.e. 21 as first number and the next as 831

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

LCM(21, 831) = 5817

GCD(21, 831) = ( 21 x 831 ) / 5817

GCD(21, 831) = 17451 / 5817

GCD(21, 831) = 3

GCD of 105, 357, 798, 831 is 3

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1. What is the GCD of 105, 357, 798, 831?

GCD of 105, 357, 798, 831 is 3

2. Where do I get the detailed procedure to find GCD of 105, 357, 798, 831?

You can find a detailed procedure to find GCD of 105, 357, 798, 831 on our page.

3. How to find GCD of 105, 357, 798, 831 on a calculator?

You can find the GCD of 105, 357, 798, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.