GCD of 947, 500, 687 Calculator

Given Input numbers are 947, 500, 687

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

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

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 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 947, 500, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 947, 500, 687 is 1.

Therefore, GCD of numbers 947, 500, 687 is 1

Given Input Data is 947, 500, 687

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

Prime Factorization of 947 is 947

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

Prime Factorization of 687 is 3 x 229

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(947, 500) = 473500

GCD(947, 500) = ( 947 x 500 ) / 473500

GCD(947, 500) = 473500 / 473500

GCD(947, 500) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 947, 500, 687 is 1

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1. What is the GCD of 947, 500, 687?

GCD of 947, 500, 687 is 1

2. Where do I get the detailed procedure to find GCD of 947, 500, 687?

You can find a detailed procedure to find GCD of 947, 500, 687 on our page.

3. How to find GCD of 947, 500, 687 on a calculator?

You can find the GCD of 947, 500, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.