GCD of 500, 413, 73, 693 Calculator

Given Input numbers are 500, 413, 73, 693

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 500, 413, 73, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 413, 73, 693 is 1.

Therefore, GCD of numbers 500, 413, 73, 693 is 1

Given Input Data is 500, 413, 73, 693

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 413 is 7 x 59

Prime Factorization of 73 is 73

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(500, 413) = 206500

GCD(500, 413) = ( 500 x 413 ) / 206500

GCD(500, 413) = 206500 / 206500

GCD(500, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 500, 413, 73, 693 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 730, 17, 799
• GCD of 431, 173, 50, 802
• GCD of 941, 138, 76, 769
• GCD of 941, 580, 62, 458
• GCD of 946, 329, 87, 808

1. What is the GCD of 500, 413, 73, 693?

GCD of 500, 413, 73, 693 is 1

2. Where do I get the detailed procedure to find GCD of 500, 413, 73, 693?

You can find a detailed procedure to find GCD of 500, 413, 73, 693 on our page.

3. How to find GCD of 500, 413, 73, 693 on a calculator?

You can find the GCD of 500, 413, 73, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.