GCD of 816, 782, 752 Calculator

Given Input numbers are 816, 782, 752

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 816, 782, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 782, 752 is 2.

Therefore, GCD of numbers 816, 782, 752 is 2

Given Input Data is 816, 782, 752

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(816, 782) = 18768

GCD(816, 782) = ( 816 x 782 ) / 18768

GCD(816, 782) = 638112 / 18768

GCD(816, 782) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 752

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

LCM(34, 752) = 12784

GCD(34, 752) = ( 34 x 752 ) / 12784

GCD(34, 752) = 25568 / 12784

GCD(34, 752) = 2

GCD of 816, 782, 752 is 2

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• GCD of 101, 781, 825
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1. What is the GCD of 816, 782, 752?

GCD of 816, 782, 752 is 2

2. Where do I get the detailed procedure to find GCD of 816, 782, 752?

You can find a detailed procedure to find GCD of 816, 782, 752 on our page.

3. How to find GCD of 816, 782, 752 on a calculator?

You can find the GCD of 816, 782, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.