GCD of 731, 629, 500, 247 Calculator

Given Input numbers are 731, 629, 500, 247

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

Divisors of 731

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

1, 17, 43, 731

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

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 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Greatest Common Divisior

We found the divisors of 731, 629, 500, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 629, 500, 247 is 1.

Therefore, GCD of numbers 731, 629, 500, 247 is 1

Given Input Data is 731, 629, 500, 247

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 629 is 17 x 37

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

Prime Factorization of 247 is 13 x 19

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(731, 629) = 27047

GCD(731, 629) = ( 731 x 629 ) / 27047

GCD(731, 629) = 459799 / 27047

GCD(731, 629) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 500

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

LCM(17, 500) = 8500

GCD(17, 500) = ( 17 x 500 ) / 8500

GCD(17, 500) = 8500 / 8500

GCD(17, 500) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 247

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

LCM(1, 247) = 247

GCD(1, 247) = ( 1 x 247 ) / 247

GCD(1, 247) = 247 / 247

GCD(1, 247) = 1

GCD of 731, 629, 500, 247 is 1

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• GCD of 640, 293, 915, 989
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1. What is the GCD of 731, 629, 500, 247?

GCD of 731, 629, 500, 247 is 1

2. Where do I get the detailed procedure to find GCD of 731, 629, 500, 247?

You can find a detailed procedure to find GCD of 731, 629, 500, 247 on our page.

3. How to find GCD of 731, 629, 500, 247 on a calculator?

You can find the GCD of 731, 629, 500, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.