GCD of 300, 792, 17, 554 Calculator

Given Input numbers are 300, 792, 17, 554

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 17

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

1, 17

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 300, 792, 17, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 792, 17, 554 is 1.

Therefore, GCD of numbers 300, 792, 17, 554 is 1

Given Input Data is 300, 792, 17, 554

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 17 is 17

Prime Factorization of 554 is 2 x 277

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(300, 792) = 19800

GCD(300, 792) = ( 300 x 792 ) / 19800

GCD(300, 792) = 237600 / 19800

GCD(300, 792) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 17

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

LCM(12, 17) = 204

GCD(12, 17) = ( 12 x 17 ) / 204

GCD(12, 17) = 204 / 204

GCD(12, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

GCD of 300, 792, 17, 554 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 252, 25, 208
• GCD of 775, 140, 32, 691
• GCD of 204, 827, 17, 553
• GCD of 660, 268, 57, 708
• GCD of 738, 687, 80, 626

1. What is the GCD of 300, 792, 17, 554?

GCD of 300, 792, 17, 554 is 1

2. Where do I get the detailed procedure to find GCD of 300, 792, 17, 554?

You can find a detailed procedure to find GCD of 300, 792, 17, 554 on our page.

3. How to find GCD of 300, 792, 17, 554 on a calculator?

You can find the GCD of 300, 792, 17, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.