GCD of 719, 216, 15, 992 Calculator

Given Input numbers are 719, 216, 15, 992

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

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 719, 216, 15, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 719, 216, 15, 992 is 1.

Therefore, GCD of numbers 719, 216, 15, 992 is 1

Given Input Data is 719, 216, 15, 992

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

Prime Factorization of 719 is 719

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 15 is 3 x 5

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(719, 216) = 155304

GCD(719, 216) = ( 719 x 216 ) / 155304

GCD(719, 216) = 155304 / 155304

GCD(719, 216) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 719, 216, 15, 992 is 1

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1. What is the GCD of 719, 216, 15, 992?

GCD of 719, 216, 15, 992 is 1

2. Where do I get the detailed procedure to find GCD of 719, 216, 15, 992?

You can find a detailed procedure to find GCD of 719, 216, 15, 992 on our page.

3. How to find GCD of 719, 216, 15, 992 on a calculator?

You can find the GCD of 719, 216, 15, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.