GCD of 204, 160, 21, 299 Calculator

Given Input numbers are 204, 160, 21, 299

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

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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 204, 160, 21, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 160, 21, 299 is 1.

Therefore, GCD of numbers 204, 160, 21, 299 is 1

Given Input Data is 204, 160, 21, 299

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

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 21 is 3 x 7

Prime Factorization of 299 is 13 x 23

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(204, 160) = 8160

GCD(204, 160) = ( 204 x 160 ) / 8160

GCD(204, 160) = 32640 / 8160

GCD(204, 160) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 21

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

LCM(4, 21) = 84

GCD(4, 21) = ( 4 x 21 ) / 84

GCD(4, 21) = 84 / 84

GCD(4, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 204, 160, 21, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 500, 60, 756
• GCD of 124, 823, 26, 782
• GCD of 884, 111, 45, 987
• GCD of 352, 913, 41, 222
• GCD of 681, 489, 70, 686

1. What is the GCD of 204, 160, 21, 299?

GCD of 204, 160, 21, 299 is 1

2. Where do I get the detailed procedure to find GCD of 204, 160, 21, 299?

You can find a detailed procedure to find GCD of 204, 160, 21, 299 on our page.

3. How to find GCD of 204, 160, 21, 299 on a calculator?

You can find the GCD of 204, 160, 21, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.