GCD of 496, 794, 990 Calculator

Given Input numbers are 496, 794, 990

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 496, 794, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 794, 990 is 2.

Therefore, GCD of numbers 496, 794, 990 is 2

Given Input Data is 496, 794, 990

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 794 is 2 x 397

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(496, 794) = 196912

GCD(496, 794) = ( 496 x 794 ) / 196912

GCD(496, 794) = 393824 / 196912

GCD(496, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 990

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

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

GCD(2, 990) = 1980 / 990

GCD(2, 990) = 2

GCD of 496, 794, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 482, 969
• GCD of 518, 697, 250
• GCD of 559, 469, 431
• GCD of 505, 242, 257
• GCD of 560, 938, 151

1. What is the GCD of 496, 794, 990?

GCD of 496, 794, 990 is 2

2. Where do I get the detailed procedure to find GCD of 496, 794, 990?

You can find a detailed procedure to find GCD of 496, 794, 990 on our page.

3. How to find GCD of 496, 794, 990 on a calculator?

You can find the GCD of 496, 794, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.