GCD of 500, 791, 27, 737 Calculator

Given Input numbers are 500, 791, 27, 737

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 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 500, 791, 27, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 791, 27, 737 is 1.

Therefore, GCD of numbers 500, 791, 27, 737 is 1

Given Input Data is 500, 791, 27, 737

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 791 is 7 x 113

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 737 is 11 x 67

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, 791) = 395500

GCD(500, 791) = ( 500 x 791 ) / 395500

GCD(500, 791) = 395500 / 395500

GCD(500, 791) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 737

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

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

GCD(1, 737) = 737 / 737

GCD(1, 737) = 1

GCD of 500, 791, 27, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 225, 64, 120
• GCD of 527, 916, 67, 219
• GCD of 264, 944, 46, 618
• GCD of 103, 590, 20, 182
• GCD of 853, 724, 51, 489

1. What is the GCD of 500, 791, 27, 737?

GCD of 500, 791, 27, 737 is 1

2. Where do I get the detailed procedure to find GCD of 500, 791, 27, 737?

You can find a detailed procedure to find GCD of 500, 791, 27, 737 on our page.

3. How to find GCD of 500, 791, 27, 737 on a calculator?

You can find the GCD of 500, 791, 27, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.