GCD of 804, 782, 266 Calculator

Given Input numbers are 804, 782, 266

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 804, 782, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 782, 266 is 2.

Therefore, GCD of numbers 804, 782, 266 is 2

Given Input Data is 804, 782, 266

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 266 is 2 x 7 x 19

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(804, 782) = 314364

GCD(804, 782) = ( 804 x 782 ) / 314364

GCD(804, 782) = 628728 / 314364

GCD(804, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 266

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

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

GCD(2, 266) = 532 / 266

GCD(2, 266) = 2

GCD of 804, 782, 266 is 2

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1. What is the GCD of 804, 782, 266?

GCD of 804, 782, 266 is 2

2. Where do I get the detailed procedure to find GCD of 804, 782, 266?

You can find a detailed procedure to find GCD of 804, 782, 266 on our page.

3. How to find GCD of 804, 782, 266 on a calculator?

You can find the GCD of 804, 782, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.