GCD of 994, 219, 756 Calculator

Given Input numbers are 994, 219, 756

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

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

Greatest Common Divisior

We found the divisors of 994, 219, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 219, 756 is 1.

Therefore, GCD of numbers 994, 219, 756 is 1

Given Input Data is 994, 219, 756

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 219 is 3 x 73

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

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(994, 219) = 217686

GCD(994, 219) = ( 994 x 219 ) / 217686

GCD(994, 219) = 217686 / 217686

GCD(994, 219) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 994, 219, 756 is 1

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1. What is the GCD of 994, 219, 756?

GCD of 994, 219, 756 is 1

2. Where do I get the detailed procedure to find GCD of 994, 219, 756?

You can find a detailed procedure to find GCD of 994, 219, 756 on our page.

3. How to find GCD of 994, 219, 756 on a calculator?

You can find the GCD of 994, 219, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.