GCD of 17, 782, 474, 360 Calculator

Given Input numbers are 17, 782, 474, 360

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

Divisors of 17

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

1, 17

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 17, 782, 474, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 782, 474, 360 is 1.

Therefore, GCD of numbers 17, 782, 474, 360 is 1

Given Input Data is 17, 782, 474, 360

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

Prime Factorization of 17 is 17

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(17, 782) = 782

GCD(17, 782) = ( 17 x 782 ) / 782

GCD(17, 782) = 13294 / 782

GCD(17, 782) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 474

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

LCM(17, 474) = 8058

GCD(17, 474) = ( 17 x 474 ) / 8058

GCD(17, 474) = 8058 / 8058

GCD(17, 474) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 17, 782, 474, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 717, 553, 234
• GCD of 69, 434, 181, 750
• GCD of 74, 735, 164, 491
• GCD of 46, 629, 189, 126
• GCD of 81, 329, 276, 479

1. What is the GCD of 17, 782, 474, 360?

GCD of 17, 782, 474, 360 is 1

2. Where do I get the detailed procedure to find GCD of 17, 782, 474, 360?

You can find a detailed procedure to find GCD of 17, 782, 474, 360 on our page.

3. How to find GCD of 17, 782, 474, 360 on a calculator?

You can find the GCD of 17, 782, 474, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.