GCD of 351, 219, 992 Calculator

Given Input numbers are 351, 219, 992

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 219

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

1, 3, 73, 219

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 351, 219, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 219, 992 is 1.

Therefore, GCD of numbers 351, 219, 992 is 1

Given Input Data is 351, 219, 992

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 219 is 3 x 73

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(351, 219) = 25623

GCD(351, 219) = ( 351 x 219 ) / 25623

GCD(351, 219) = 76869 / 25623

GCD(351, 219) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 992

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

LCM(3, 992) = 2976

GCD(3, 992) = ( 3 x 992 ) / 2976

GCD(3, 992) = 2976 / 2976

GCD(3, 992) = 1

GCD of 351, 219, 992 is 1

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1. What is the GCD of 351, 219, 992?

GCD of 351, 219, 992 is 1

2. Where do I get the detailed procedure to find GCD of 351, 219, 992?

You can find a detailed procedure to find GCD of 351, 219, 992 on our page.

3. How to find GCD of 351, 219, 992 on a calculator?

You can find the GCD of 351, 219, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.