GCD of 204, 245, 66, 460 Calculator

Given Input numbers are 204, 245, 66, 460

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 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 204, 245, 66, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 245, 66, 460 is 1.

Therefore, GCD of numbers 204, 245, 66, 460 is 1

Given Input Data is 204, 245, 66, 460

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 245 is 5 x 7 x 7

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 460 is 2 x 2 x 5 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, 245) = 49980

GCD(204, 245) = ( 204 x 245 ) / 49980

GCD(204, 245) = 49980 / 49980

GCD(204, 245) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 204, 245, 66, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 223, 80, 901
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1. What is the GCD of 204, 245, 66, 460?

GCD of 204, 245, 66, 460 is 1

2. Where do I get the detailed procedure to find GCD of 204, 245, 66, 460?

You can find a detailed procedure to find GCD of 204, 245, 66, 460 on our page.

3. How to find GCD of 204, 245, 66, 460 on a calculator?

You can find the GCD of 204, 245, 66, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.