GCD of 99, 208, 798, 926 Calculator

Given Input numbers are 99, 208, 798, 926

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

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Greatest Common Divisior

We found the divisors of 99, 208, 798, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 208, 798, 926 is 1.

Therefore, GCD of numbers 99, 208, 798, 926 is 1

Given Input Data is 99, 208, 798, 926

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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

Prime Factorization of 926 is 2 x 463

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(99, 208) = 20592

GCD(99, 208) = ( 99 x 208 ) / 20592

GCD(99, 208) = 20592 / 20592

GCD(99, 208) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 926

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

LCM(1, 926) = 926

GCD(1, 926) = ( 1 x 926 ) / 926

GCD(1, 926) = 926 / 926

GCD(1, 926) = 1

GCD of 99, 208, 798, 926 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 260, 546, 919
• GCD of 77, 214, 343, 357
• GCD of 52, 321, 567, 870
• GCD of 18, 104, 749, 477
• GCD of 93, 593, 844, 351

1. What is the GCD of 99, 208, 798, 926?

GCD of 99, 208, 798, 926 is 1

2. Where do I get the detailed procedure to find GCD of 99, 208, 798, 926?

You can find a detailed procedure to find GCD of 99, 208, 798, 926 on our page.

3. How to find GCD of 99, 208, 798, 926 on a calculator?

You can find the GCD of 99, 208, 798, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.