GCD of 200, 490, 798 Calculator

Given Input numbers are 200, 490, 798

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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

Greatest Common Divisior

We found the divisors of 200, 490, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 490, 798 is 2.

Therefore, GCD of numbers 200, 490, 798 is 2

Given Input Data is 200, 490, 798

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 490 is 2 x 5 x 7 x 7

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

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(200, 490) = 9800

GCD(200, 490) = ( 200 x 490 ) / 9800

GCD(200, 490) = 98000 / 9800

GCD(200, 490) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 798

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

LCM(10, 798) = 3990

GCD(10, 798) = ( 10 x 798 ) / 3990

GCD(10, 798) = 7980 / 3990

GCD(10, 798) = 2

GCD of 200, 490, 798 is 2

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1. What is the GCD of 200, 490, 798?

GCD of 200, 490, 798 is 2

2. Where do I get the detailed procedure to find GCD of 200, 490, 798?

You can find a detailed procedure to find GCD of 200, 490, 798 on our page.

3. How to find GCD of 200, 490, 798 on a calculator?

You can find the GCD of 200, 490, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.