GCD of 500, 915, 57, 731 Calculator

Given Input numbers are 500, 915, 57, 731

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 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 500, 915, 57, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 915, 57, 731 is 1.

Therefore, GCD of numbers 500, 915, 57, 731 is 1

Given Input Data is 500, 915, 57, 731

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 915 is 3 x 5 x 61

Prime Factorization of 57 is 3 x 19

Prime Factorization of 731 is 17 x 43

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, 915) = 91500

GCD(500, 915) = ( 500 x 915 ) / 91500

GCD(500, 915) = 457500 / 91500

GCD(500, 915) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 57

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

LCM(5, 57) = 285

GCD(5, 57) = ( 5 x 57 ) / 285

GCD(5, 57) = 285 / 285

GCD(5, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 500, 915, 57, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 131, 17, 587
• GCD of 686, 730, 12, 896
• GCD of 710, 354, 21, 158
• GCD of 550, 671, 33, 551
• GCD of 996, 953, 20, 316

1. What is the GCD of 500, 915, 57, 731?

GCD of 500, 915, 57, 731 is 1

2. Where do I get the detailed procedure to find GCD of 500, 915, 57, 731?

You can find a detailed procedure to find GCD of 500, 915, 57, 731 on our page.

3. How to find GCD of 500, 915, 57, 731 on a calculator?

You can find the GCD of 500, 915, 57, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.