GCD of 834, 112, 99, 803 Calculator

Given Input numbers are 834, 112, 99, 803

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Greatest Common Divisior

We found the divisors of 834, 112, 99, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 112, 99, 803 is 1.

Therefore, GCD of numbers 834, 112, 99, 803 is 1

Given Input Data is 834, 112, 99, 803

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 803 is 11 x 73

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(834, 112) = 46704

GCD(834, 112) = ( 834 x 112 ) / 46704

GCD(834, 112) = 93408 / 46704

GCD(834, 112) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 803

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

LCM(1, 803) = 803

GCD(1, 803) = ( 1 x 803 ) / 803

GCD(1, 803) = 803 / 803

GCD(1, 803) = 1

GCD of 834, 112, 99, 803 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 309, 22, 407
• GCD of 373, 127, 88, 686
• GCD of 821, 962, 32, 674
• GCD of 905, 327, 61, 236
• GCD of 952, 501, 56, 481

1. What is the GCD of 834, 112, 99, 803?

GCD of 834, 112, 99, 803 is 1

2. Where do I get the detailed procedure to find GCD of 834, 112, 99, 803?

You can find a detailed procedure to find GCD of 834, 112, 99, 803 on our page.

3. How to find GCD of 834, 112, 99, 803 on a calculator?

You can find the GCD of 834, 112, 99, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.