GCD of 491, 800, 204, 662 Calculator

Given Input numbers are 491, 800, 204, 662

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

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 491, 800, 204, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 800, 204, 662 is 1.

Therefore, GCD of numbers 491, 800, 204, 662 is 1

Given Input Data is 491, 800, 204, 662

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

Prime Factorization of 491 is 491

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 662 is 2 x 331

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(491, 800) = 392800

GCD(491, 800) = ( 491 x 800 ) / 392800

GCD(491, 800) = 392800 / 392800

GCD(491, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 662

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

LCM(1, 662) = 662

GCD(1, 662) = ( 1 x 662 ) / 662

GCD(1, 662) = 662 / 662

GCD(1, 662) = 1

GCD of 491, 800, 204, 662 is 1

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1. What is the GCD of 491, 800, 204, 662?

GCD of 491, 800, 204, 662 is 1

2. Where do I get the detailed procedure to find GCD of 491, 800, 204, 662?

You can find a detailed procedure to find GCD of 491, 800, 204, 662 on our page.

3. How to find GCD of 491, 800, 204, 662 on a calculator?

You can find the GCD of 491, 800, 204, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.