GCD of 240, 296, 227, 725 Calculator

Given Input numbers are 240, 296, 227, 725

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 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 240, 296, 227, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 296, 227, 725 is 1.

Therefore, GCD of numbers 240, 296, 227, 725 is 1

Given Input Data is 240, 296, 227, 725

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 296 is 2 x 2 x 2 x 37

Prime Factorization of 227 is 227

Prime Factorization of 725 is 5 x 5 x 29

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, 296) = 8880

GCD(240, 296) = ( 240 x 296 ) / 8880

GCD(240, 296) = 71040 / 8880

GCD(240, 296) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 227

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

LCM(8, 227) = 1816

GCD(8, 227) = ( 8 x 227 ) / 1816

GCD(8, 227) = 1816 / 1816

GCD(8, 227) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 240, 296, 227, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 207, 884, 407
• GCD of 241, 869, 819, 687
• GCD of 260, 538, 137, 740
• GCD of 145, 321, 709, 319
• GCD of 852, 170, 911, 287

1. What is the GCD of 240, 296, 227, 725?

GCD of 240, 296, 227, 725 is 1

2. Where do I get the detailed procedure to find GCD of 240, 296, 227, 725?

You can find a detailed procedure to find GCD of 240, 296, 227, 725 on our page.

3. How to find GCD of 240, 296, 227, 725 on a calculator?

You can find the GCD of 240, 296, 227, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.