GCD of 624, 800, 17, 492 Calculator

Given Input numbers are 624, 800, 17, 492

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 624, 800, 17, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 800, 17, 492 is 1.

Therefore, GCD of numbers 624, 800, 17, 492 is 1

Given Input Data is 624, 800, 17, 492

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 17 is 17

Prime Factorization of 492 is 2 x 2 x 3 x 41

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(624, 800) = 31200

GCD(624, 800) = ( 624 x 800 ) / 31200

GCD(624, 800) = 499200 / 31200

GCD(624, 800) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 17

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

LCM(16, 17) = 272

GCD(16, 17) = ( 16 x 17 ) / 272

GCD(16, 17) = 272 / 272

GCD(16, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

GCD of 624, 800, 17, 492 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 400, 57, 328
• GCD of 234, 148, 24, 115
• GCD of 628, 553, 71, 441
• GCD of 391, 149, 55, 990
• GCD of 264, 313, 16, 588

1. What is the GCD of 624, 800, 17, 492?

GCD of 624, 800, 17, 492 is 1

2. Where do I get the detailed procedure to find GCD of 624, 800, 17, 492?

You can find a detailed procedure to find GCD of 624, 800, 17, 492 on our page.

3. How to find GCD of 624, 800, 17, 492 on a calculator?

You can find the GCD of 624, 800, 17, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.