GCD of 756, 218, 17, 185 Calculator

Given Input numbers are 756, 218, 17, 185

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 17

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

1, 17

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 756, 218, 17, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 218, 17, 185 is 1.

Therefore, GCD of numbers 756, 218, 17, 185 is 1

Given Input Data is 756, 218, 17, 185

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 218 is 2 x 109

Prime Factorization of 17 is 17

Prime Factorization of 185 is 5 x 37

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(756, 218) = 82404

GCD(756, 218) = ( 756 x 218 ) / 82404

GCD(756, 218) = 164808 / 82404

GCD(756, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1

GCD of 756, 218, 17, 185 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 741, 90, 349
• GCD of 981, 692, 75, 697
• GCD of 184, 618, 61, 641
• GCD of 799, 460, 37, 912
• GCD of 459, 918, 78, 770

1. What is the GCD of 756, 218, 17, 185?

GCD of 756, 218, 17, 185 is 1

2. Where do I get the detailed procedure to find GCD of 756, 218, 17, 185?

You can find a detailed procedure to find GCD of 756, 218, 17, 185 on our page.

3. How to find GCD of 756, 218, 17, 185 on a calculator?

You can find the GCD of 756, 218, 17, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.