GCD of 500, 951, 318, 505 Calculator

Given Input numbers are 500, 951, 318, 505

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 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 500, 951, 318, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 951, 318, 505 is 1.

Therefore, GCD of numbers 500, 951, 318, 505 is 1

Given Input Data is 500, 951, 318, 505

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 951 is 3 x 317

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 505 is 5 x 101

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, 951) = 475500

GCD(500, 951) = ( 500 x 951 ) / 475500

GCD(500, 951) = 475500 / 475500

GCD(500, 951) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 500, 951, 318, 505 is 1

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• GCD of 537, 826, 712, 944
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1. What is the GCD of 500, 951, 318, 505?

GCD of 500, 951, 318, 505 is 1

2. Where do I get the detailed procedure to find GCD of 500, 951, 318, 505?

You can find a detailed procedure to find GCD of 500, 951, 318, 505 on our page.

3. How to find GCD of 500, 951, 318, 505 on a calculator?

You can find the GCD of 500, 951, 318, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.