GCD of 725, 501, 16, 579 Calculator

Given Input numbers are 725, 501, 16, 579

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

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Greatest Common Divisior

We found the divisors of 725, 501, 16, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 501, 16, 579 is 1.

Therefore, GCD of numbers 725, 501, 16, 579 is 1

Given Input Data is 725, 501, 16, 579

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 501 is 3 x 167

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 579 is 3 x 193

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(725, 501) = 363225

GCD(725, 501) = ( 725 x 501 ) / 363225

GCD(725, 501) = 363225 / 363225

GCD(725, 501) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 579

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

LCM(1, 579) = 579

GCD(1, 579) = ( 1 x 579 ) / 579

GCD(1, 579) = 579 / 579

GCD(1, 579) = 1

GCD of 725, 501, 16, 579 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 840, 91, 241
• GCD of 286, 801, 96, 603
• GCD of 401, 999, 23, 677
• GCD of 529, 316, 14, 601
• GCD of 900, 210, 74, 808

1. What is the GCD of 725, 501, 16, 579?

GCD of 725, 501, 16, 579 is 1

2. Where do I get the detailed procedure to find GCD of 725, 501, 16, 579?

You can find a detailed procedure to find GCD of 725, 501, 16, 579 on our page.

3. How to find GCD of 725, 501, 16, 579 on a calculator?

You can find the GCD of 725, 501, 16, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.