GCD of 264, 953, 72, 204 Calculator

Given Input numbers are 264, 953, 72, 204

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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

Greatest Common Divisior

We found the divisors of 264, 953, 72, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 953, 72, 204 is 1.

Therefore, GCD of numbers 264, 953, 72, 204 is 1

Given Input Data is 264, 953, 72, 204

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 953 is 953

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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

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(264, 953) = 251592

GCD(264, 953) = ( 264 x 953 ) / 251592

GCD(264, 953) = 251592 / 251592

GCD(264, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

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

GCD of 264, 953, 72, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 964, 10, 808
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• GCD of 700, 270, 97, 199

1. What is the GCD of 264, 953, 72, 204?

GCD of 264, 953, 72, 204 is 1

2. Where do I get the detailed procedure to find GCD of 264, 953, 72, 204?

You can find a detailed procedure to find GCD of 264, 953, 72, 204 on our page.

3. How to find GCD of 264, 953, 72, 204 on a calculator?

You can find the GCD of 264, 953, 72, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.