GCD of 500, 616, 56, 555 Calculator

Given Input numbers are 500, 616, 56, 555

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 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Greatest Common Divisior

We found the divisors of 500, 616, 56, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 616, 56, 555 is 1.

Therefore, GCD of numbers 500, 616, 56, 555 is 1

Given Input Data is 500, 616, 56, 555

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 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 555 is 3 x 5 x 37

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, 616) = 77000

GCD(500, 616) = ( 500 x 616 ) / 77000

GCD(500, 616) = 308000 / 77000

GCD(500, 616) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 56

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

LCM(4, 56) = 56

GCD(4, 56) = ( 4 x 56 ) / 56

GCD(4, 56) = 224 / 56

GCD(4, 56) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 555

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

LCM(4, 555) = 2220

GCD(4, 555) = ( 4 x 555 ) / 2220

GCD(4, 555) = 2220 / 2220

GCD(4, 555) = 1

GCD of 500, 616, 56, 555 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 377, 12, 129
• GCD of 681, 793, 72, 745
• GCD of 834, 931, 83, 819
• GCD of 319, 645, 20, 497
• GCD of 426, 379, 59, 745

1. What is the GCD of 500, 616, 56, 555?

GCD of 500, 616, 56, 555 is 1

2. Where do I get the detailed procedure to find GCD of 500, 616, 56, 555?

You can find a detailed procedure to find GCD of 500, 616, 56, 555 on our page.

3. How to find GCD of 500, 616, 56, 555 on a calculator?

You can find the GCD of 500, 616, 56, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.