GCD of 795, 747, 216 Calculator

Given Input numbers are 795, 747, 216

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

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

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

Greatest Common Divisior

We found the divisors of 795, 747, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 747, 216 is 3.

Therefore, GCD of numbers 795, 747, 216 is 3

Given Input Data is 795, 747, 216

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

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 747 is 3 x 3 x 83

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(795, 747) = 197955

GCD(795, 747) = ( 795 x 747 ) / 197955

GCD(795, 747) = 593865 / 197955

GCD(795, 747) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 216

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

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

GCD(3, 216) = 648 / 216

GCD(3, 216) = 3

GCD of 795, 747, 216 is 3

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1. What is the GCD of 795, 747, 216?

GCD of 795, 747, 216 is 3

2. Where do I get the detailed procedure to find GCD of 795, 747, 216?

You can find a detailed procedure to find GCD of 795, 747, 216 on our page.

3. How to find GCD of 795, 747, 216 on a calculator?

You can find the GCD of 795, 747, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.