GCD of 724, 865, 42, 525 Calculator

Given Input numbers are 724, 865, 42, 525

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

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 724, 865, 42, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 865, 42, 525 is 1.

Therefore, GCD of numbers 724, 865, 42, 525 is 1

Given Input Data is 724, 865, 42, 525

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 865 is 5 x 173

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(724, 865) = 626260

GCD(724, 865) = ( 724 x 865 ) / 626260

GCD(724, 865) = 626260 / 626260

GCD(724, 865) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 724, 865, 42, 525 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 217, 75, 219
• GCD of 126, 146, 47, 242
• GCD of 220, 891, 51, 974
• GCD of 882, 859, 41, 886
• GCD of 337, 941, 75, 293

1. What is the GCD of 724, 865, 42, 525?

GCD of 724, 865, 42, 525 is 1

2. Where do I get the detailed procedure to find GCD of 724, 865, 42, 525?

You can find a detailed procedure to find GCD of 724, 865, 42, 525 on our page.

3. How to find GCD of 724, 865, 42, 525 on a calculator?

You can find the GCD of 724, 865, 42, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.