GCD of 204, 165, 722, 253 Calculator

Given Input numbers are 204, 165, 722, 253

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 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 204, 165, 722, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 165, 722, 253 is 1.

Therefore, GCD of numbers 204, 165, 722, 253 is 1

Given Input Data is 204, 165, 722, 253

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 165 is 3 x 5 x 11

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 253 is 11 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, 165) = 11220

GCD(204, 165) = ( 204 x 165 ) / 11220

GCD(204, 165) = 33660 / 11220

GCD(204, 165) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 722

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

LCM(3, 722) = 2166

GCD(3, 722) = ( 3 x 722 ) / 2166

GCD(3, 722) = 2166 / 2166

GCD(3, 722) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 204, 165, 722, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 780, 573, 667
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• GCD of 200, 375, 685, 962

1. What is the GCD of 204, 165, 722, 253?

GCD of 204, 165, 722, 253 is 1

2. Where do I get the detailed procedure to find GCD of 204, 165, 722, 253?

You can find a detailed procedure to find GCD of 204, 165, 722, 253 on our page.

3. How to find GCD of 204, 165, 722, 253 on a calculator?

You can find the GCD of 204, 165, 722, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.