GCD of 500, 399, 91, 556 Calculator

Given Input numbers are 500, 399, 91, 556

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 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 500, 399, 91, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 399, 91, 556 is 1.

Therefore, GCD of numbers 500, 399, 91, 556 is 1

Given Input Data is 500, 399, 91, 556

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 399 is 3 x 7 x 19

Prime Factorization of 91 is 7 x 13

Prime Factorization of 556 is 2 x 2 x 139

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, 399) = 199500

GCD(500, 399) = ( 500 x 399 ) / 199500

GCD(500, 399) = 199500 / 199500

GCD(500, 399) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 500, 399, 91, 556 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 872, 10, 183
• GCD of 437, 988, 55, 553
• GCD of 231, 994, 80, 902
• GCD of 763, 113, 18, 975
• GCD of 915, 416, 51, 938

1. What is the GCD of 500, 399, 91, 556?

GCD of 500, 399, 91, 556 is 1

2. Where do I get the detailed procedure to find GCD of 500, 399, 91, 556?

You can find a detailed procedure to find GCD of 500, 399, 91, 556 on our page.

3. How to find GCD of 500, 399, 91, 556 on a calculator?

You can find the GCD of 500, 399, 91, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.