GCD of 830, 108, 43, 299 Calculator

Given Input numbers are 830, 108, 43, 299

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 830, 108, 43, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 108, 43, 299 is 1.

Therefore, GCD of numbers 830, 108, 43, 299 is 1

Given Input Data is 830, 108, 43, 299

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 43 is 43

Prime Factorization of 299 is 13 x 23

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(830, 108) = 44820

GCD(830, 108) = ( 830 x 108 ) / 44820

GCD(830, 108) = 89640 / 44820

GCD(830, 108) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 43

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

LCM(2, 43) = 86

GCD(2, 43) = ( 2 x 43 ) / 86

GCD(2, 43) = 86 / 86

GCD(2, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 830, 108, 43, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 630, 62, 182
• GCD of 303, 691, 67, 958
• GCD of 340, 627, 84, 764
• GCD of 252, 656, 44, 747
• GCD of 317, 757, 26, 893

1. What is the GCD of 830, 108, 43, 299?

GCD of 830, 108, 43, 299 is 1

2. Where do I get the detailed procedure to find GCD of 830, 108, 43, 299?

You can find a detailed procedure to find GCD of 830, 108, 43, 299 on our page.

3. How to find GCD of 830, 108, 43, 299 on a calculator?

You can find the GCD of 830, 108, 43, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.