GCD of 264, 609, 72, 115 Calculator

Given Input numbers are 264, 609, 72, 115

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 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

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 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 264, 609, 72, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 609, 72, 115 is 1.

Therefore, GCD of numbers 264, 609, 72, 115 is 1

Given Input Data is 264, 609, 72, 115

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 609 is 3 x 7 x 29

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

Prime Factorization of 115 is 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(264, 609) = 53592

GCD(264, 609) = ( 264 x 609 ) / 53592

GCD(264, 609) = 160776 / 53592

GCD(264, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 72

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

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

GCD(3, 72) = 216 / 72

GCD(3, 72) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 115

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

LCM(3, 115) = 345

GCD(3, 115) = ( 3 x 115 ) / 345

GCD(3, 115) = 345 / 345

GCD(3, 115) = 1

GCD of 264, 609, 72, 115 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 865, 74, 852
• GCD of 902, 538, 96, 305
• GCD of 423, 353, 57, 887
• GCD of 399, 619, 52, 879
• GCD of 796, 581, 65, 517

1. What is the GCD of 264, 609, 72, 115?

GCD of 264, 609, 72, 115 is 1

2. Where do I get the detailed procedure to find GCD of 264, 609, 72, 115?

You can find a detailed procedure to find GCD of 264, 609, 72, 115 on our page.

3. How to find GCD of 264, 609, 72, 115 on a calculator?

You can find the GCD of 264, 609, 72, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.