GCD of 240, 495, 459, 724 Calculator

Given Input numbers are 240, 495, 459, 724

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 240, 495, 459, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 495, 459, 724 is 1.

Therefore, GCD of numbers 240, 495, 459, 724 is 1

Given Input Data is 240, 495, 459, 724

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 724 is 2 x 2 x 181

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(240, 495) = 7920

GCD(240, 495) = ( 240 x 495 ) / 7920

GCD(240, 495) = 118800 / 7920

GCD(240, 495) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 459

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

LCM(15, 459) = 2295

GCD(15, 459) = ( 15 x 459 ) / 2295

GCD(15, 459) = 6885 / 2295

GCD(15, 459) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 724

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

LCM(3, 724) = 2172

GCD(3, 724) = ( 3 x 724 ) / 2172

GCD(3, 724) = 2172 / 2172

GCD(3, 724) = 1

GCD of 240, 495, 459, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 310, 434, 206
• GCD of 255, 989, 317, 577
• GCD of 554, 105, 786, 398
• GCD of 504, 840, 997, 604
• GCD of 355, 847, 163, 431

1. What is the GCD of 240, 495, 459, 724?

GCD of 240, 495, 459, 724 is 1

2. Where do I get the detailed procedure to find GCD of 240, 495, 459, 724?

You can find a detailed procedure to find GCD of 240, 495, 459, 724 on our page.

3. How to find GCD of 240, 495, 459, 724 on a calculator?

You can find the GCD of 240, 495, 459, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.