GCD of 503, 493, 725, 702 Calculator

Given Input numbers are 503, 493, 725, 702

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

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 503, 493, 725, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 493, 725, 702 is 1.

Therefore, GCD of numbers 503, 493, 725, 702 is 1

Given Input Data is 503, 493, 725, 702

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

Prime Factorization of 503 is 503

Prime Factorization of 493 is 17 x 29

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(503, 493) = 247979

GCD(503, 493) = ( 503 x 493 ) / 247979

GCD(503, 493) = 247979 / 247979

GCD(503, 493) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 503, 493, 725, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 518, 829, 783
• GCD of 393, 284, 448, 470
• GCD of 952, 543, 396, 973
• GCD of 870, 830, 832, 643
• GCD of 977, 860, 479, 543

1. What is the GCD of 503, 493, 725, 702?

GCD of 503, 493, 725, 702 is 1

2. Where do I get the detailed procedure to find GCD of 503, 493, 725, 702?

You can find a detailed procedure to find GCD of 503, 493, 725, 702 on our page.

3. How to find GCD of 503, 493, 725, 702 on a calculator?

You can find the GCD of 503, 493, 725, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.